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Simplifying -8(n + -9) + -5(n + -8) = 0 Reorder the terms: -8(-9 + n) + -5(n + -8) = 0 (-9 * -8 + n * -8) + -5(n + -8) = 0 (72 + -8n) + -5(n + -8) = 0 Reorder the terms: 72 + -8n + -5(-8 + n) = 0 72 + -8n + (-8 * -5 + n * -5) = 0 72 + -8n + (40 + -5n) = 0 Reorder the terms: 72 + 40 + -8n + -5n = 0 Combine like terms: 72 + 40 = 112 112 + -8n + -5n = 0 Combine like terms: -8n + -5n = -13n 112 + -13n = 0 Solving 112 + -13n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -112 + -13n = 0 + -112 Combine like terms: 112 + -112 = 0 0 + -13n = 0 + -112 -13n = 0 + -112 Combine like terms: 0 + -112 = -112 -13n = -112 Divide each side by '-13'. n = 8.615384615 Simplifying n = 8.615384615
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