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Simplifying -4(n + -4) = 8(-15 + -9n) Reorder the terms: -4(-4 + n) = 8(-15 + -9n) (-4 * -4 + n * -4) = 8(-15 + -9n) (16 + -4n) = 8(-15 + -9n) 16 + -4n = (-15 * 8 + -9n * 8) 16 + -4n = (-120 + -72n) Solving 16 + -4n = -120 + -72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '72n' to each side of the equation. 16 + -4n + 72n = -120 + -72n + 72n Combine like terms: -4n + 72n = 68n 16 + 68n = -120 + -72n + 72n Combine like terms: -72n + 72n = 0 16 + 68n = -120 + 0 16 + 68n = -120 Add '-16' to each side of the equation. 16 + -16 + 68n = -120 + -16 Combine like terms: 16 + -16 = 0 0 + 68n = -120 + -16 68n = -120 + -16 Combine like terms: -120 + -16 = -136 68n = -136 Divide each side by '68'. n = -2 Simplifying n = -2
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