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Simplifying 4(3n + -2) = 2n + 12 Reorder the terms: 4(-2 + 3n) = 2n + 12 (-2 * 4 + 3n * 4) = 2n + 12 (-8 + 12n) = 2n + 12 Reorder the terms: -8 + 12n = 12 + 2n Solving -8 + 12n = 12 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -8 + 12n + -2n = 12 + 2n + -2n Combine like terms: 12n + -2n = 10n -8 + 10n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + 10n = 12 + 0 -8 + 10n = 12 Add '8' to each side of the equation. -8 + 8 + 10n = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 10n = 12 + 8 10n = 12 + 8 Combine like terms: 12 + 8 = 20 10n = 20 Divide each side by '10'. n = 2 Simplifying n = 2
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