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Simplifying 5[2 + -1(2n + -4)] = 2(5 + -3n) Reorder the terms: 5[2 + -1(-4 + 2n)] = 2(5 + -3n) 5[2 + (-4 * -1 + 2n * -1)] = 2(5 + -3n) 5[2 + (4 + -2n)] = 2(5 + -3n) Combine like terms: 2 + 4 = 6 5[6 + -2n] = 2(5 + -3n) [6 * 5 + -2n * 5] = 2(5 + -3n) [30 + -10n] = 2(5 + -3n) 30 + -10n = (5 * 2 + -3n * 2) 30 + -10n = (10 + -6n) Solving 30 + -10n = 10 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 30 + -10n + 6n = 10 + -6n + 6n Combine like terms: -10n + 6n = -4n 30 + -4n = 10 + -6n + 6n Combine like terms: -6n + 6n = 0 30 + -4n = 10 + 0 30 + -4n = 10 Add '-30' to each side of the equation. 30 + -30 + -4n = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -4n = 10 + -30 -4n = 10 + -30 Combine like terms: 10 + -30 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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