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Simplifying -7(n + -5) = 3(n + 5) Reorder the terms: -7(-5 + n) = 3(n + 5) (-5 * -7 + n * -7) = 3(n + 5) (35 + -7n) = 3(n + 5) Reorder the terms: 35 + -7n = 3(5 + n) 35 + -7n = (5 * 3 + n * 3) 35 + -7n = (15 + 3n) Solving 35 + -7n = 15 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 35 + -7n + -3n = 15 + 3n + -3n Combine like terms: -7n + -3n = -10n 35 + -10n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 35 + -10n = 15 + 0 35 + -10n = 15 Add '-35' to each side of the equation. 35 + -35 + -10n = 15 + -35 Combine like terms: 35 + -35 = 0 0 + -10n = 15 + -35 -10n = 15 + -35 Combine like terms: 15 + -35 = -20 -10n = -20 Divide each side by '-10'. n = 2 Simplifying n = 2
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