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Simplifying -12(-10n + 1) = -12(n + 12) Reorder the terms: -12(1 + -10n) = -12(n + 12) (1 * -12 + -10n * -12) = -12(n + 12) (-12 + 120n) = -12(n + 12) Reorder the terms: -12 + 120n = -12(12 + n) -12 + 120n = (12 * -12 + n * -12) -12 + 120n = (-144 + -12n) Solving -12 + 120n = -144 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -12 + 120n + 12n = -144 + -12n + 12n Combine like terms: 120n + 12n = 132n -12 + 132n = -144 + -12n + 12n Combine like terms: -12n + 12n = 0 -12 + 132n = -144 + 0 -12 + 132n = -144 Add '12' to each side of the equation. -12 + 12 + 132n = -144 + 12 Combine like terms: -12 + 12 = 0 0 + 132n = -144 + 12 132n = -144 + 12 Combine like terms: -144 + 12 = -132 132n = -132 Divide each side by '132'. n = -1 Simplifying n = -1
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