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Simplifying -5 + -12(10n + -12) = 21 + -2n Reorder the terms: -5 + -12(-12 + 10n) = 21 + -2n -5 + (-12 * -12 + 10n * -12) = 21 + -2n -5 + (144 + -120n) = 21 + -2n Combine like terms: -5 + 144 = 139 139 + -120n = 21 + -2n Solving 139 + -120n = 21 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 139 + -120n + 2n = 21 + -2n + 2n Combine like terms: -120n + 2n = -118n 139 + -118n = 21 + -2n + 2n Combine like terms: -2n + 2n = 0 139 + -118n = 21 + 0 139 + -118n = 21 Add '-139' to each side of the equation. 139 + -139 + -118n = 21 + -139 Combine like terms: 139 + -139 = 0 0 + -118n = 21 + -139 -118n = 21 + -139 Combine like terms: 21 + -139 = -118 -118n = -118 Divide each side by '-118'. n = 1 Simplifying n = 1
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