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Simplifying 5(2n + -4) + -1(4n + -8) = 2(2n + -5) + -12 Reorder the terms: 5(-4 + 2n) + -1(4n + -8) = 2(2n + -5) + -12 (-4 * 5 + 2n * 5) + -1(4n + -8) = 2(2n + -5) + -12 (-20 + 10n) + -1(4n + -8) = 2(2n + -5) + -12 Reorder the terms: -20 + 10n + -1(-8 + 4n) = 2(2n + -5) + -12 -20 + 10n + (-8 * -1 + 4n * -1) = 2(2n + -5) + -12 -20 + 10n + (8 + -4n) = 2(2n + -5) + -12 Reorder the terms: -20 + 8 + 10n + -4n = 2(2n + -5) + -12 Combine like terms: -20 + 8 = -12 -12 + 10n + -4n = 2(2n + -5) + -12 Combine like terms: 10n + -4n = 6n -12 + 6n = 2(2n + -5) + -12 Reorder the terms: -12 + 6n = 2(-5 + 2n) + -12 -12 + 6n = (-5 * 2 + 2n * 2) + -12 -12 + 6n = (-10 + 4n) + -12 Reorder the terms: -12 + 6n = -10 + -12 + 4n Combine like terms: -10 + -12 = -22 -12 + 6n = -22 + 4n Solving -12 + 6n = -22 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -12 + 6n + -4n = -22 + 4n + -4n Combine like terms: 6n + -4n = 2n -12 + 2n = -22 + 4n + -4n Combine like terms: 4n + -4n = 0 -12 + 2n = -22 + 0 -12 + 2n = -22 Add '12' to each side of the equation. -12 + 12 + 2n = -22 + 12 Combine like terms: -12 + 12 = 0 0 + 2n = -22 + 12 2n = -22 + 12 Combine like terms: -22 + 12 = -10 2n = -10 Divide each side by '2'. n = -5 Simplifying n = -5
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