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Simplifying 8(n + 8) = 3(5n + -2) Reorder the terms: 8(8 + n) = 3(5n + -2) (8 * 8 + n * 8) = 3(5n + -2) (64 + 8n) = 3(5n + -2) Reorder the terms: 64 + 8n = 3(-2 + 5n) 64 + 8n = (-2 * 3 + 5n * 3) 64 + 8n = (-6 + 15n) Solving 64 + 8n = -6 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 64 + 8n + -15n = -6 + 15n + -15n Combine like terms: 8n + -15n = -7n 64 + -7n = -6 + 15n + -15n Combine like terms: 15n + -15n = 0 64 + -7n = -6 + 0 64 + -7n = -6 Add '-64' to each side of the equation. 64 + -64 + -7n = -6 + -64 Combine like terms: 64 + -64 = 0 0 + -7n = -6 + -64 -7n = -6 + -64 Combine like terms: -6 + -64 = -70 -7n = -70 Divide each side by '-7'. n = 10 Simplifying n = 10
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