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Simplifying 8(8 + -1n) = -2(n + -5) (8 * 8 + -1n * 8) = -2(n + -5) (64 + -8n) = -2(n + -5) Reorder the terms: 64 + -8n = -2(-5 + n) 64 + -8n = (-5 * -2 + n * -2) 64 + -8n = (10 + -2n) Solving 64 + -8n = 10 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 64 + -8n + 2n = 10 + -2n + 2n Combine like terms: -8n + 2n = -6n 64 + -6n = 10 + -2n + 2n Combine like terms: -2n + 2n = 0 64 + -6n = 10 + 0 64 + -6n = 10 Add '-64' to each side of the equation. 64 + -64 + -6n = 10 + -64 Combine like terms: 64 + -64 = 0 0 + -6n = 10 + -64 -6n = 10 + -64 Combine like terms: 10 + -64 = -54 -6n = -54 Divide each side by '-6'. n = 9 Simplifying n = 9
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