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Simplifying -7(7 + -3n) + 8(-6n + 8) = 15 (7 * -7 + -3n * -7) + 8(-6n + 8) = 15 (-49 + 21n) + 8(-6n + 8) = 15 Reorder the terms: -49 + 21n + 8(8 + -6n) = 15 -49 + 21n + (8 * 8 + -6n * 8) = 15 -49 + 21n + (64 + -48n) = 15 Reorder the terms: -49 + 64 + 21n + -48n = 15 Combine like terms: -49 + 64 = 15 15 + 21n + -48n = 15 Combine like terms: 21n + -48n = -27n 15 + -27n = 15 Add '-15' to each side of the equation. 15 + -15 + -27n = 15 + -15 Combine like terms: 15 + -15 = 0 0 + -27n = 15 + -15 -27n = 15 + -15 Combine like terms: 15 + -15 = 0 -27n = 0 Solving -27n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '-27'. n = 0 Simplifying n = 0
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