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Simplifying 101 = 5(3n + 5) + 1 Reorder the terms: 101 = 5(5 + 3n) + 1 101 = (5 * 5 + 3n * 5) + 1 101 = (25 + 15n) + 1 Reorder the terms: 101 = 25 + 1 + 15n Combine like terms: 25 + 1 = 26 101 = 26 + 15n Solving 101 = 26 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 101 + -15n = 26 + 15n + -15n Combine like terms: 15n + -15n = 0 101 + -15n = 26 + 0 101 + -15n = 26 Add '-101' to each side of the equation. 101 + -101 + -15n = 26 + -101 Combine like terms: 101 + -101 = 0 0 + -15n = 26 + -101 -15n = 26 + -101 Combine like terms: 26 + -101 = -75 -15n = -75 Divide each side by '-15'. n = 5 Simplifying n = 5
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