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