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Simplifying -12(n + 6) + 2n = -4(-9 + 7n) Reorder the terms: -12(6 + n) + 2n = -4(-9 + 7n) (6 * -12 + n * -12) + 2n = -4(-9 + 7n) (-72 + -12n) + 2n = -4(-9 + 7n) Combine like terms: -12n + 2n = -10n -72 + -10n = -4(-9 + 7n) -72 + -10n = (-9 * -4 + 7n * -4) -72 + -10n = (36 + -28n) Solving -72 + -10n = 36 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. -72 + -10n + 28n = 36 + -28n + 28n Combine like terms: -10n + 28n = 18n -72 + 18n = 36 + -28n + 28n Combine like terms: -28n + 28n = 0 -72 + 18n = 36 + 0 -72 + 18n = 36 Add '72' to each side of the equation. -72 + 72 + 18n = 36 + 72 Combine like terms: -72 + 72 = 0 0 + 18n = 36 + 72 18n = 36 + 72 Combine like terms: 36 + 72 = 108 18n = 108 Divide each side by '18'. n = 6 Simplifying n = 6
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