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Simplifying 2(3n + 10) = 5(4 + -2n) Reorder the terms: 2(10 + 3n) = 5(4 + -2n) (10 * 2 + 3n * 2) = 5(4 + -2n) (20 + 6n) = 5(4 + -2n) 20 + 6n = (4 * 5 + -2n * 5) 20 + 6n = (20 + -10n) Add '-20' to each side of the equation. 20 + -20 + 6n = 20 + -20 + -10n Combine like terms: 20 + -20 = 0 0 + 6n = 20 + -20 + -10n 6n = 20 + -20 + -10n Combine like terms: 20 + -20 = 0 6n = 0 + -10n 6n = -10n Solving 6n = -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. 6n + 10n = -10n + 10n Combine like terms: 6n + 10n = 16n 16n = -10n + 10n Combine like terms: -10n + 10n = 0 16n = 0 Divide each side by '16'. n = 0 Simplifying n = 0
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