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Simplifying -8(n + -2) + -1(1 + -7n) = -2n Reorder the terms: -8(-2 + n) + -1(1 + -7n) = -2n (-2 * -8 + n * -8) + -1(1 + -7n) = -2n (16 + -8n) + -1(1 + -7n) = -2n 16 + -8n + (1 * -1 + -7n * -1) = -2n 16 + -8n + (-1 + 7n) = -2n Reorder the terms: 16 + -1 + -8n + 7n = -2n Combine like terms: 16 + -1 = 15 15 + -8n + 7n = -2n Combine like terms: -8n + 7n = -1n 15 + -1n = -2n Solving 15 + -1n = -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 + -1n + 2n = -2n + 2n Combine like terms: -1n + 2n = 1n 15 + 1n = -2n + 2n Combine like terms: -2n + 2n = 0 15 + 1n = 0 Add '-15' to each side of the equation. 15 + -15 + 1n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 1n = 0 + -15 1n = 0 + -15 Combine like terms: 0 + -15 = -15 1n = -15 Divide each side by '1'. n = -15 Simplifying n = -15
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