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Simplifying -8(3n + -1) = 15n + 125 Reorder the terms: -8(-1 + 3n) = 15n + 125 (-1 * -8 + 3n * -8) = 15n + 125 (8 + -24n) = 15n + 125 Reorder the terms: 8 + -24n = 125 + 15n Solving 8 + -24n = 125 + 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. 8 + -24n + -15n = 125 + 15n + -15n Combine like terms: -24n + -15n = -39n 8 + -39n = 125 + 15n + -15n Combine like terms: 15n + -15n = 0 8 + -39n = 125 + 0 8 + -39n = 125 Add '-8' to each side of the equation. 8 + -8 + -39n = 125 + -8 Combine like terms: 8 + -8 = 0 0 + -39n = 125 + -8 -39n = 125 + -8 Combine like terms: 125 + -8 = 117 -39n = 117 Divide each side by '-39'. n = -3 Simplifying n = -3
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