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Simplifying -4(n + -6) = 2(7 + -7n) Reorder the terms: -4(-6 + n) = 2(7 + -7n) (-6 * -4 + n * -4) = 2(7 + -7n) (24 + -4n) = 2(7 + -7n) 24 + -4n = (7 * 2 + -7n * 2) 24 + -4n = (14 + -14n) Solving 24 + -4n = 14 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 24 + -4n + 14n = 14 + -14n + 14n Combine like terms: -4n + 14n = 10n 24 + 10n = 14 + -14n + 14n Combine like terms: -14n + 14n = 0 24 + 10n = 14 + 0 24 + 10n = 14 Add '-24' to each side of the equation. 24 + -24 + 10n = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 10n = 14 + -24 10n = 14 + -24 Combine like terms: 14 + -24 = -10 10n = -10 Divide each side by '10'. n = -1 Simplifying n = -1
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