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Simplifying 3(5 + -2n) = 7n + -24 (5 * 3 + -2n * 3) = 7n + -24 (15 + -6n) = 7n + -24 Reorder the terms: 15 + -6n = -24 + 7n Solving 15 + -6n = -24 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 15 + -6n + -7n = -24 + 7n + -7n Combine like terms: -6n + -7n = -13n 15 + -13n = -24 + 7n + -7n Combine like terms: 7n + -7n = 0 15 + -13n = -24 + 0 15 + -13n = -24 Add '-15' to each side of the equation. 15 + -15 + -13n = -24 + -15 Combine like terms: 15 + -15 = 0 0 + -13n = -24 + -15 -13n = -24 + -15 Combine like terms: -24 + -15 = -39 -13n = -39 Divide each side by '-13'. n = 3 Simplifying n = 3
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