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Simplifying 35 = 8(n + 8) + -5(3n + -4) Reorder the terms: 35 = 8(8 + n) + -5(3n + -4) 35 = (8 * 8 + n * 8) + -5(3n + -4) 35 = (64 + 8n) + -5(3n + -4) Reorder the terms: 35 = 64 + 8n + -5(-4 + 3n) 35 = 64 + 8n + (-4 * -5 + 3n * -5) 35 = 64 + 8n + (20 + -15n) Reorder the terms: 35 = 64 + 20 + 8n + -15n Combine like terms: 64 + 20 = 84 35 = 84 + 8n + -15n Combine like terms: 8n + -15n = -7n 35 = 84 + -7n Solving 35 = 84 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 35 + 7n = 84 + -7n + 7n Combine like terms: -7n + 7n = 0 35 + 7n = 84 + 0 35 + 7n = 84 Add '-35' to each side of the equation. 35 + -35 + 7n = 84 + -35 Combine like terms: 35 + -35 = 0 0 + 7n = 84 + -35 7n = 84 + -35 Combine like terms: 84 + -35 = 49 7n = 49 Divide each side by '7'. n = 7 Simplifying n = 7
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