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Simplifying -4(-3n + 12) = 6(n + 4) Reorder the terms: -4(12 + -3n) = 6(n + 4) (12 * -4 + -3n * -4) = 6(n + 4) (-48 + 12n) = 6(n + 4) Reorder the terms: -48 + 12n = 6(4 + n) -48 + 12n = (4 * 6 + n * 6) -48 + 12n = (24 + 6n) Solving -48 + 12n = 24 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -48 + 12n + -6n = 24 + 6n + -6n Combine like terms: 12n + -6n = 6n -48 + 6n = 24 + 6n + -6n Combine like terms: 6n + -6n = 0 -48 + 6n = 24 + 0 -48 + 6n = 24 Add '48' to each side of the equation. -48 + 48 + 6n = 24 + 48 Combine like terms: -48 + 48 = 0 0 + 6n = 24 + 48 6n = 24 + 48 Combine like terms: 24 + 48 = 72 6n = 72 Divide each side by '6'. n = 12 Simplifying n = 12
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