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Simplifying 8(n + 4) = 2n + -10 Reorder the terms: 8(4 + n) = 2n + -10 (4 * 8 + n * 8) = 2n + -10 (32 + 8n) = 2n + -10 Reorder the terms: 32 + 8n = -10 + 2n Solving 32 + 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. 32 + 8n + -2n = -10 + 2n + -2n Combine like terms: 8n + -2n = 6n 32 + 6n = -10 + 2n + -2n Combine like terms: 2n + -2n = 0 32 + 6n = -10 + 0 32 + 6n = -10 Add '-32' to each side of the equation. 32 + -32 + 6n = -10 + -32 Combine like terms: 32 + -32 = 0 0 + 6n = -10 + -32 6n = -10 + -32 Combine like terms: -10 + -32 = -42 6n = -42 Divide each side by '6'. n = -7 Simplifying n = -7
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