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Simplifying -1(-5 + 3n) + 4 = 2n + 24 (-5 * -1 + 3n * -1) + 4 = 2n + 24 (5 + -3n) + 4 = 2n + 24 Reorder the terms: 5 + 4 + -3n = 2n + 24 Combine like terms: 5 + 4 = 9 9 + -3n = 2n + 24 Reorder the terms: 9 + -3n = 24 + 2n Solving 9 + -3n = 24 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 9 + -3n + -2n = 24 + 2n + -2n Combine like terms: -3n + -2n = -5n 9 + -5n = 24 + 2n + -2n Combine like terms: 2n + -2n = 0 9 + -5n = 24 + 0 9 + -5n = 24 Add '-9' to each side of the equation. 9 + -9 + -5n = 24 + -9 Combine like terms: 9 + -9 = 0 0 + -5n = 24 + -9 -5n = 24 + -9 Combine like terms: 24 + -9 = 15 -5n = 15 Divide each side by '-5'. n = -3 Simplifying n = -3
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