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Simplifying 4(n + 5) = 7(n + 8) Reorder the terms: 4(5 + n) = 7(n + 8) (5 * 4 + n * 4) = 7(n + 8) (20 + 4n) = 7(n + 8) Reorder the terms: 20 + 4n = 7(8 + n) 20 + 4n = (8 * 7 + n * 7) 20 + 4n = (56 + 7n) Solving 20 + 4n = 56 + 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. 20 + 4n + -7n = 56 + 7n + -7n Combine like terms: 4n + -7n = -3n 20 + -3n = 56 + 7n + -7n Combine like terms: 7n + -7n = 0 20 + -3n = 56 + 0 20 + -3n = 56 Add '-20' to each side of the equation. 20 + -20 + -3n = 56 + -20 Combine like terms: 20 + -20 = 0 0 + -3n = 56 + -20 -3n = 56 + -20 Combine like terms: 56 + -20 = 36 -3n = 36 Divide each side by '-3'. n = -12 Simplifying n = -12
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