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Simplifying -8(n + -9) = 1 + -7n Reorder the terms: -8(-9 + n) = 1 + -7n (-9 * -8 + n * -8) = 1 + -7n (72 + -8n) = 1 + -7n Solving 72 + -8n = 1 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 72 + -8n + 7n = 1 + -7n + 7n Combine like terms: -8n + 7n = -1n 72 + -1n = 1 + -7n + 7n Combine like terms: -7n + 7n = 0 72 + -1n = 1 + 0 72 + -1n = 1 Add '-72' to each side of the equation. 72 + -72 + -1n = 1 + -72 Combine like terms: 72 + -72 = 0 0 + -1n = 1 + -72 -1n = 1 + -72 Combine like terms: 1 + -72 = -71 -1n = -71 Divide each side by '-1'. n = 71 Simplifying n = 71
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