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Simplifying 8(n + 3) = 7(n + 4) Reorder the terms: 8(3 + n) = 7(n + 4) (3 * 8 + n * 8) = 7(n + 4) (24 + 8n) = 7(n + 4) Reorder the terms: 24 + 8n = 7(4 + n) 24 + 8n = (4 * 7 + n * 7) 24 + 8n = (28 + 7n) Solving 24 + 8n = 28 + 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. 24 + 8n + -7n = 28 + 7n + -7n Combine like terms: 8n + -7n = 1n 24 + 1n = 28 + 7n + -7n Combine like terms: 7n + -7n = 0 24 + 1n = 28 + 0 24 + 1n = 28 Add '-24' to each side of the equation. 24 + -24 + 1n = 28 + -24 Combine like terms: 24 + -24 = 0 0 + 1n = 28 + -24 1n = 28 + -24 Combine like terms: 28 + -24 = 4 1n = 4 Divide each side by '1'. n = 4 Simplifying n = 4
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