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Simplifying 5(2n + -4) = 2(3n + -1) + 6n Reorder the terms: 5(-4 + 2n) = 2(3n + -1) + 6n (-4 * 5 + 2n * 5) = 2(3n + -1) + 6n (-20 + 10n) = 2(3n + -1) + 6n Reorder the terms: -20 + 10n = 2(-1 + 3n) + 6n -20 + 10n = (-1 * 2 + 3n * 2) + 6n -20 + 10n = (-2 + 6n) + 6n Combine like terms: 6n + 6n = 12n -20 + 10n = -2 + 12n Solving -20 + 10n = -2 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -20 + 10n + -12n = -2 + 12n + -12n Combine like terms: 10n + -12n = -2n -20 + -2n = -2 + 12n + -12n Combine like terms: 12n + -12n = 0 -20 + -2n = -2 + 0 -20 + -2n = -2 Add '20' to each side of the equation. -20 + 20 + -2n = -2 + 20 Combine like terms: -20 + 20 = 0 0 + -2n = -2 + 20 -2n = -2 + 20 Combine like terms: -2 + 20 = 18 -2n = 18 Divide each side by '-2'. n = -9 Simplifying n = -9
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