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Simplifying 2(1 + 8n) = -5(-3 + -3n) (1 * 2 + 8n * 2) = -5(-3 + -3n) (2 + 16n) = -5(-3 + -3n) 2 + 16n = (-3 * -5 + -3n * -5) 2 + 16n = (15 + 15n) Solving 2 + 16n = 15 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 2 + 16n + -15n = 15 + 15n + -15n Combine like terms: 16n + -15n = 1n 2 + 1n = 15 + 15n + -15n Combine like terms: 15n + -15n = 0 2 + 1n = 15 + 0 2 + 1n = 15 Add '-2' to each side of the equation. 2 + -2 + 1n = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 1n = 15 + -2 1n = 15 + -2 Combine like terms: 15 + -2 = 13 1n = 13 Divide each side by '1'. n = 13 Simplifying n = 13
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