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Simplifying 8(n + 7) + -2(n + 7) = 0 Reorder the terms: 8(7 + n) + -2(n + 7) = 0 (7 * 8 + n * 8) + -2(n + 7) = 0 (56 + 8n) + -2(n + 7) = 0 Reorder the terms: 56 + 8n + -2(7 + n) = 0 56 + 8n + (7 * -2 + n * -2) = 0 56 + 8n + (-14 + -2n) = 0 Reorder the terms: 56 + -14 + 8n + -2n = 0 Combine like terms: 56 + -14 = 42 42 + 8n + -2n = 0 Combine like terms: 8n + -2n = 6n 42 + 6n = 0 Solving 42 + 6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 6n = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 6n = 0 + -42 6n = 0 + -42 Combine like terms: 0 + -42 = -42 6n = -42 Divide each side by '6'. n = -7 Simplifying n = -7
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