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Simplifying -7(n + -1) + 8(n + -8) = -56 Reorder the terms: -7(-1 + n) + 8(n + -8) = -56 (-1 * -7 + n * -7) + 8(n + -8) = -56 (7 + -7n) + 8(n + -8) = -56 Reorder the terms: 7 + -7n + 8(-8 + n) = -56 7 + -7n + (-8 * 8 + n * 8) = -56 7 + -7n + (-64 + 8n) = -56 Reorder the terms: 7 + -64 + -7n + 8n = -56 Combine like terms: 7 + -64 = -57 -57 + -7n + 8n = -56 Combine like terms: -7n + 8n = 1n -57 + 1n = -56 Solving -57 + 1n = -56 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 1n = -56 + 57 Combine like terms: -57 + 57 = 0 0 + 1n = -56 + 57 1n = -56 + 57 Combine like terms: -56 + 57 = 1 1n = 1 Divide each side by '1'. n = 1 Simplifying n = 1
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