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Simplifying 6(2n + -4) = 5(4 + 2n) Reorder the terms: 6(-4 + 2n) = 5(4 + 2n) (-4 * 6 + 2n * 6) = 5(4 + 2n) (-24 + 12n) = 5(4 + 2n) -24 + 12n = (4 * 5 + 2n * 5) -24 + 12n = (20 + 10n) Solving -24 + 12n = 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. -24 + 12n + -10n = 20 + 10n + -10n Combine like terms: 12n + -10n = 2n -24 + 2n = 20 + 10n + -10n Combine like terms: 10n + -10n = 0 -24 + 2n = 20 + 0 -24 + 2n = 20 Add '24' to each side of the equation. -24 + 24 + 2n = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 2n = 20 + 24 2n = 20 + 24 Combine like terms: 20 + 24 = 44 2n = 44 Divide each side by '2'. n = 22 Simplifying n = 22
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