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Simplifying 3(5 + -2n) = 2n + -9 (5 * 3 + -2n * 3) = 2n + -9 (15 + -6n) = 2n + -9 Reorder the terms: 15 + -6n = -9 + 2n Solving 15 + -6n = -9 + 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 + -6n + -2n = -9 + 2n + -2n Combine like terms: -6n + -2n = -8n 15 + -8n = -9 + 2n + -2n Combine like terms: 2n + -2n = 0 15 + -8n = -9 + 0 15 + -8n = -9 Add '-15' to each side of the equation. 15 + -15 + -8n = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -8n = -9 + -15 -8n = -9 + -15 Combine like terms: -9 + -15 = -24 -8n = -24 Divide each side by '-8'. n = 3 Simplifying n = 3
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