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Simplifying 8(n + 7) = 32 + 2n Reorder the terms: 8(7 + n) = 32 + 2n (7 * 8 + n * 8) = 32 + 2n (56 + 8n) = 32 + 2n Solving 56 + 8n = 32 + 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. 56 + 8n + -2n = 32 + 2n + -2n Combine like terms: 8n + -2n = 6n 56 + 6n = 32 + 2n + -2n Combine like terms: 2n + -2n = 0 56 + 6n = 32 + 0 56 + 6n = 32 Add '-56' to each side of the equation. 56 + -56 + 6n = 32 + -56 Combine like terms: 56 + -56 = 0 0 + 6n = 32 + -56 6n = 32 + -56 Combine like terms: 32 + -56 = -24 6n = -24 Divide each side by '6'. n = -4 Simplifying n = -4
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