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Simplifying 3(2n + -8) = 4(-1 + -1n) Reorder the terms: 3(-8 + 2n) = 4(-1 + -1n) (-8 * 3 + 2n * 3) = 4(-1 + -1n) (-24 + 6n) = 4(-1 + -1n) -24 + 6n = (-1 * 4 + -1n * 4) -24 + 6n = (-4 + -4n) Solving -24 + 6n = -4 + -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. -24 + 6n + 4n = -4 + -4n + 4n Combine like terms: 6n + 4n = 10n -24 + 10n = -4 + -4n + 4n Combine like terms: -4n + 4n = 0 -24 + 10n = -4 + 0 -24 + 10n = -4 Add '24' to each side of the equation. -24 + 24 + 10n = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 10n = -4 + 24 10n = -4 + 24 Combine like terms: -4 + 24 = 20 10n = 20 Divide each side by '10'. n = 2 Simplifying n = 2
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