\[ 880 = (n-1) \times 11 \]

["# Solve ( 880 = (n - 1) \ imes 11 ): A Complete Step-by-Step Guide", "Solving equations is a fundamental skill in mathematics, and equations involving linear expressions appear frequently in algebra. One such problem is solving for ( n ) in the equation:", "[\n880 = (n - 1) \ imes 11\n]", "Whether you're a student learning algebra, a teacher preparing lessons, or someone brushing up on mathematical techniques, this article breaks down how to solve ( 880 = (n - 1) \ imes 11 ) clearly and thoroughly.", "---", "## Understanding the Equation", "The equation ( 880 = (n - 1) \ imes 11 ) relates a known value—880—to a variation involving ( n ). The expression ( (n - 1) ) is multiplied by 11, meaning ( n - 1 ) is the coefficient that scales the term to reach 880.", "Our goal is to isolate ( n ) and find its exact value.", "---", "## Step-by-Step Solution", "### Step 1: Isolate the Term with ( n )", "Start by dividing both sides of the equation by 11:", "[\n\frac{880}{11} = n - 1\n]", "Simplify the division:", "[\n80 = n - 1\n]", "---", "### Step 2: Solve for ( n )", "Now, add 1 to both sides to solve for ( n ):", "[\nn = 80 + 1\n]", "[\nn = 81\n]", "---", "## Final Answer", "[\n\boxed{n = 81}\n]", "---", "## Why This Equation Matters", "Although simple, this equation model real-world scenarios involving proportional relationships. For example:", "- If a base cost requires a pre-assessment fee (represented by ( n - 1 )), and multiplying that scaled cost by 11 gives 880 total dollars, then solving shows the number of units or units beyond the fee — in this case, 81 total units.", "---", "## Broader Learning Takeaways", "- Working with parentheses: Understanding how expressions like ( (n - 1) ) interact with multipliers is essential in algebra.\n- Order of operations: Dividing first helps simplify the equation efficiently.\n- Applying arithmetic: Simplifying fractions and whole numbers ensures clear results.", "---", "## Practice Problem", "Try solving a similar equation:\nIf ( 990 = (n - 5) \ imes 11 ), what is ( n )?", "Hint: Start by dividing both sides by 11, then isolate ( n ).", "---", "## Summary", "To solve ( 880 = (n - 1) \ imes 11 ):", "1. Divide 880 by 11: ( 880 / 11 = 80 )\n2. Set ( n - 1 = 80 )\n3. Solve: ( n = 81 )", "This method applies to any equation of the form ( C = (n - k) \ imes m ) — just isolate the expression, divide, and solve.", "---", "## Key Keywords for SEO", "- Solve ( 880 = (n - 1) \ imes 11 )\n- Algebra equation solution step-by-step\n- How to isolate variables in linear equations\n- Mathematical problem solving technique\n- Step-by-step linear equation solver\n- Algebra equation ( (n - 1) \ imes 11 = 880 ", "---", "Use this guide whenever you encounter similar linear equations to build confidence and accuracy in algebraic problem solving!"]