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Simplifying 8(n + -7) + -1(5 + -1n) = 0 Reorder the terms: 8(-7 + n) + -1(5 + -1n) = 0 (-7 * 8 + n * 8) + -1(5 + -1n) = 0 (-56 + 8n) + -1(5 + -1n) = 0 -56 + 8n + (5 * -1 + -1n * -1) = 0 -56 + 8n + (-5 + 1n) = 0 Reorder the terms: -56 + -5 + 8n + 1n = 0 Combine like terms: -56 + -5 = -61 -61 + 8n + 1n = 0 Combine like terms: 8n + 1n = 9n -61 + 9n = 0 Solving -61 + 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + 9n = 0 + 61 Combine like terms: -61 + 61 = 0 0 + 9n = 0 + 61 9n = 0 + 61 Combine like terms: 0 + 61 = 61 9n = 61 Divide each side by '9'. n = 6.777777778 Simplifying n = 6.777777778
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