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Simplifying -116 = -4(n + -9) + -12(1 + -12n) Reorder the terms: -116 = -4(-9 + n) + -12(1 + -12n) -116 = (-9 * -4 + n * -4) + -12(1 + -12n) -116 = (36 + -4n) + -12(1 + -12n) -116 = 36 + -4n + (1 * -12 + -12n * -12) -116 = 36 + -4n + (-12 + 144n) Reorder the terms: -116 = 36 + -12 + -4n + 144n Combine like terms: 36 + -12 = 24 -116 = 24 + -4n + 144n Combine like terms: -4n + 144n = 140n -116 = 24 + 140n Solving -116 = 24 + 140n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-140n' to each side of the equation. -116 + -140n = 24 + 140n + -140n Combine like terms: 140n + -140n = 0 -116 + -140n = 24 + 0 -116 + -140n = 24 Add '116' to each side of the equation. -116 + 116 + -140n = 24 + 116 Combine like terms: -116 + 116 = 0 0 + -140n = 24 + 116 -140n = 24 + 116 Combine like terms: 24 + 116 = 140 -140n = 140 Divide each side by '-140'. n = -1 Simplifying n = -1
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