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