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Simplifying -12(n + -12) = -9(1 + 7n) Reorder the terms: -12(-12 + n) = -9(1 + 7n) (-12 * -12 + n * -12) = -9(1 + 7n) (144 + -12n) = -9(1 + 7n) 144 + -12n = (1 * -9 + 7n * -9) 144 + -12n = (-9 + -63n) Solving 144 + -12n = -9 + -63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '63n' to each side of the equation. 144 + -12n + 63n = -9 + -63n + 63n Combine like terms: -12n + 63n = 51n 144 + 51n = -9 + -63n + 63n Combine like terms: -63n + 63n = 0 144 + 51n = -9 + 0 144 + 51n = -9 Add '-144' to each side of the equation. 144 + -144 + 51n = -9 + -144 Combine like terms: 144 + -144 = 0 0 + 51n = -9 + -144 51n = -9 + -144 Combine like terms: -9 + -144 = -153 51n = -153 Divide each side by '51'. n = -3 Simplifying n = -3
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