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Simplifying -2n + 8(n + 3) = 7(n + 2) Reorder the terms: -2n + 8(3 + n) = 7(n + 2) -2n + (3 * 8 + n * 8) = 7(n + 2) -2n + (24 + 8n) = 7(n + 2) Reorder the terms: 24 + -2n + 8n = 7(n + 2) Combine like terms: -2n + 8n = 6n 24 + 6n = 7(n + 2) Reorder the terms: 24 + 6n = 7(2 + n) 24 + 6n = (2 * 7 + n * 7) 24 + 6n = (14 + 7n) Solving 24 + 6n = 14 + 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 + 6n + -7n = 14 + 7n + -7n Combine like terms: 6n + -7n = -1n 24 + -1n = 14 + 7n + -7n Combine like terms: 7n + -7n = 0 24 + -1n = 14 + 0 24 + -1n = 14 Add '-24' to each side of the equation. 24 + -24 + -1n = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -1n = 14 + -24 -1n = 14 + -24 Combine like terms: 14 + -24 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10
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