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Simplifying -5(2n + -3) = 7(3 + -1n) Reorder the terms: -5(-3 + 2n) = 7(3 + -1n) (-3 * -5 + 2n * -5) = 7(3 + -1n) (15 + -10n) = 7(3 + -1n) 15 + -10n = (3 * 7 + -1n * 7) 15 + -10n = (21 + -7n) Solving 15 + -10n = 21 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 15 + -10n + 7n = 21 + -7n + 7n Combine like terms: -10n + 7n = -3n 15 + -3n = 21 + -7n + 7n Combine like terms: -7n + 7n = 0 15 + -3n = 21 + 0 15 + -3n = 21 Add '-15' to each side of the equation. 15 + -15 + -3n = 21 + -15 Combine like terms: 15 + -15 = 0 0 + -3n = 21 + -15 -3n = 21 + -15 Combine like terms: 21 + -15 = 6 -3n = 6 Divide each side by '-3'. n = -2 Simplifying n = -2
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