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Simplifying 8(n + 8) = 2n + 22 Reorder the terms: 8(8 + n) = 2n + 22 (8 * 8 + n * 8) = 2n + 22 (64 + 8n) = 2n + 22 Reorder the terms: 64 + 8n = 22 + 2n Solving 64 + 8n = 22 + 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 = 22 + 2n + -2n Combine like terms: 8n + -2n = 6n 64 + 6n = 22 + 2n + -2n Combine like terms: 2n + -2n = 0 64 + 6n = 22 + 0 64 + 6n = 22 Add '-64' to each side of the equation. 64 + -64 + 6n = 22 + -64 Combine like terms: 64 + -64 = 0 0 + 6n = 22 + -64 6n = 22 + -64 Combine like terms: 22 + -64 = -42 6n = -42 Divide each side by '6'. n = -7 Simplifying n = -7
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