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Simplifying 3(n + 4) = 5(2n + 4) Reorder the terms: 3(4 + n) = 5(2n + 4) (4 * 3 + n * 3) = 5(2n + 4) (12 + 3n) = 5(2n + 4) Reorder the terms: 12 + 3n = 5(4 + 2n) 12 + 3n = (4 * 5 + 2n * 5) 12 + 3n = (20 + 10n) Solving 12 + 3n = 20 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 12 + 3n + -10n = 20 + 10n + -10n Combine like terms: 3n + -10n = -7n 12 + -7n = 20 + 10n + -10n Combine like terms: 10n + -10n = 0 12 + -7n = 20 + 0 12 + -7n = 20 Add '-12' to each side of the equation. 12 + -12 + -7n = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -7n = 20 + -12 -7n = 20 + -12 Combine like terms: 20 + -12 = 8 -7n = 8 Divide each side by '-7'. n = -1.142857143 Simplifying n = -1.142857143
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