\(30t + 20 - 5t = 120\) → \(25t = 100\) → \(t = 4\).

["Solve the Equation Step-by-Step: (30t + 20 - 5t = 120)", "If you're solving the equation (30t + 20 - 5t = 120), mastering each step not only leads to the correct answer but also strengthens your algebra skills. This equation simplifies neatly to find the value of (t) quickly—here’s how.", "---", "### Step 1: Simplify the Left Side", "Start with the original expression:\n[ 30t + 20 - 5t = 120 ]", "Combine like terms:\n- The terms with (t) are (30t) and (-5t).\n- Combine them:\n[ (30t - 5t) + 20 = 25t + 20 ]", "Now the equation becomes:\n[ 25t + 20 = 120 ]", "---", "### Step 2: Isolate the Term with (t)", "Subtract 20 from both sides to isolate the term with (t):\n[ 25t + 20 - 20 = 120 - 20 ]\n[ 25t = 100 ]", "---", "### Step 3: Solve for (t)", "Divide both sides by 25 to solve for (t):\n[ t = \frac{100}{25} ]\n[ t = 4 ]", "---", "### Final Answer", "[\n\boxed{t = 4}\n]", "---", "### Why This Equation Matters", "Understanding how to simplify and solve linear equations like (30t + 20 - 5t = 120) is essential in algebra and forms the foundation for more advanced math, including real-world problem-solving in science, economics, and engineering.", "Tips for Solving Linear Equations:\n- Always combine like terms to simplify.\n- Perform the same operation on both sides to maintain equality.\n- Reduce step-by-step to avoid mistakes.\n- Double-check by substituting the solution back into the original equation.", "Mastering these steps builds confidence and accuracy—critical skills in math and beyond.", "---", "### Related Keywords for SEO Optimization\n- Solve linear equations step-by-step\n- How to solve 30t + 20 - 5t = 120\n- Step-by-step algebra solution\n- Easy explanation of solving for (t)\n- Algebra practice problems and answers\n- How to isolate variables in equations", "By following clear, systematic steps and reinforcing correct procedures, you’ll find that solving (30t + 20 - 5t = 120)—and equations like it—becomes second nature."]