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Simplifying 7(n + -7) + -1(8 + -1n) = 0 Reorder the terms: 7(-7 + n) + -1(8 + -1n) = 0 (-7 * 7 + n * 7) + -1(8 + -1n) = 0 (-49 + 7n) + -1(8 + -1n) = 0 -49 + 7n + (8 * -1 + -1n * -1) = 0 -49 + 7n + (-8 + 1n) = 0 Reorder the terms: -49 + -8 + 7n + 1n = 0 Combine like terms: -49 + -8 = -57 -57 + 7n + 1n = 0 Combine like terms: 7n + 1n = 8n -57 + 8n = 0 Solving -57 + 8n = 0 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 + 8n = 0 + 57 Combine like terms: -57 + 57 = 0 0 + 8n = 0 + 57 8n = 0 + 57 Combine like terms: 0 + 57 = 57 8n = 57 Divide each side by '8'. n = 7.125 Simplifying n = 7.125
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