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Simplifying 2(n + 8) = 3(n + 4) Reorder the terms: 2(8 + n) = 3(n + 4) (8 * 2 + n * 2) = 3(n + 4) (16 + 2n) = 3(n + 4) Reorder the terms: 16 + 2n = 3(4 + n) 16 + 2n = (4 * 3 + n * 3) 16 + 2n = (12 + 3n) Solving 16 + 2n = 12 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 16 + 2n + -3n = 12 + 3n + -3n Combine like terms: 2n + -3n = -1n 16 + -1n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 16 + -1n = 12 + 0 16 + -1n = 12 Add '-16' to each side of the equation. 16 + -16 + -1n = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -1n = 12 + -16 -1n = 12 + -16 Combine like terms: 12 + -16 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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