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Simplifying 5(8n + 3) = -2n + -27 Reorder the terms: 5(3 + 8n) = -2n + -27 (3 * 5 + 8n * 5) = -2n + -27 (15 + 40n) = -2n + -27 Reorder the terms: 15 + 40n = -27 + -2n Solving 15 + 40n = -27 + -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 + 40n + 2n = -27 + -2n + 2n Combine like terms: 40n + 2n = 42n 15 + 42n = -27 + -2n + 2n Combine like terms: -2n + 2n = 0 15 + 42n = -27 + 0 15 + 42n = -27 Add '-15' to each side of the equation. 15 + -15 + 42n = -27 + -15 Combine like terms: 15 + -15 = 0 0 + 42n = -27 + -15 42n = -27 + -15 Combine like terms: -27 + -15 = -42 42n = -42 Divide each side by '42'. n = -1 Simplifying n = -1
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