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Simplifying 5(n + 3) = 7(n + 5) Reorder the terms: 5(3 + n) = 7(n + 5) (3 * 5 + n * 5) = 7(n + 5) (15 + 5n) = 7(n + 5) Reorder the terms: 15 + 5n = 7(5 + n) 15 + 5n = (5 * 7 + n * 7) 15 + 5n = (35 + 7n) Solving 15 + 5n = 35 + 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. 15 + 5n + -7n = 35 + 7n + -7n Combine like terms: 5n + -7n = -2n 15 + -2n = 35 + 7n + -7n Combine like terms: 7n + -7n = 0 15 + -2n = 35 + 0 15 + -2n = 35 Add '-15' to each side of the equation. 15 + -15 + -2n = 35 + -15 Combine like terms: 15 + -15 = 0 0 + -2n = 35 + -15 -2n = 35 + -15 Combine like terms: 35 + -15 = 20 -2n = 20 Divide each side by '-2'. n = -10 Simplifying n = -10
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