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Simplifying 5(2n + -4) = -3(4n + -8) Reorder the terms: 5(-4 + 2n) = -3(4n + -8) (-4 * 5 + 2n * 5) = -3(4n + -8) (-20 + 10n) = -3(4n + -8) Reorder the terms: -20 + 10n = -3(-8 + 4n) -20 + 10n = (-8 * -3 + 4n * -3) -20 + 10n = (24 + -12n) Solving -20 + 10n = 24 + -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 = 24 + -12n + 12n Combine like terms: 10n + 12n = 22n -20 + 22n = 24 + -12n + 12n Combine like terms: -12n + 12n = 0 -20 + 22n = 24 + 0 -20 + 22n = 24 Add '20' to each side of the equation. -20 + 20 + 22n = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 22n = 24 + 20 22n = 24 + 20 Combine like terms: 24 + 20 = 44 22n = 44 Divide each side by '22'. n = 2 Simplifying n = 2
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