\[ 2 \times 4 - 16 + k = 4 \]

["Understanding and Solving the Equation: ( 2 \ imes 4 - 16 + k = 4 )", "Solving basic algebraic equations like ( 2 \ imes 4 - 16 + k = 4 ) is a foundational skill in mathematics, often taught in early algebra classes. Mastering such problems builds confidence and problem-solving skills applicable in math, science, and real-world scenarios. This article breaks down the equation step-by-step to help you understand how to solve for ( k ), reinforce core math concepts, and apply them confidently.", "---", "### What Is the Equation ( 2 \ imes 4 - 16 + k = 4 )?", "At its core, this is a linear equation in one variable, ( k ). Its purpose is to find the value of ( k ) that makes the equation true. Simplifying and isolating ( k ) enables us to determine its exact value.", "---", "### Step-by-Step Solution", "Step 1: Simplify the Left-Hand Side", "Start by performing the multiplication:\n[\n2 \ imes 4 = 8\n]\nNow substitute back into the equation:\n[\n8 - 16 + k = 4\n]", "Step 2: Combine Constants", "Calculate ( 8 - 16 ):\n[\n-8 + k = 4\n]", "Step 3: Isolate ( k )", "To solve for ( k ), subtract ( -8 ) from both sides by adding 8 to both sides:\n[\nk = 4 + 8\n]\n[\nk = 12\n]", "---", "### Verifying the Solution", "Plug ( k = 12 ) back into the original equation to ensure correctness:\n[\n2 \ imes 4 - 16 + 12 = 8 - 16 + 12 = -8 + 12 = 4\n]\nSince the left-hand side equals the right-hand side, the solution is confirmed.", "---", "### Why Solving for ( k ) Matters", "Understanding how to solve ( 2 \ imes 4 - 16 + k = 4 ) strengthens key mathematical abilities:\n- Algebraic manipulation: Combining like terms and isolating variables.\n- Logical reasoning: Step-by-step logic ensures accuracy.\n- Real-world application: These skills apply to budgeting, engineering problems, and scientific computations.", "---", "### Tips for Solving Similar Equations", "- Always perform operations in the correct order (multiplication/division before addition/subtraction).\n- Simplify expressions before isolating the variable.\n- Always verify your solution by substituting it back into the original equation.\n- Recognize constants and coefficients to streamline calculations.", "---", "### Final Answer", "The solution to the equation ( 2 \ imes 4 - 16 + k = 4 ) is:\n[\n\boxed{k = 12}\n]", "---", "Explore more algebra topics to master problem-solving and boost your confidence in math. Whether you’re a student, teacher, or self-learner, practicing equations like this one unlocks deeper understanding and useful skills."]