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Simplifying -4(n + 2) = 2(n + 12) Reorder the terms: -4(2 + n) = 2(n + 12) (2 * -4 + n * -4) = 2(n + 12) (-8 + -4n) = 2(n + 12) Reorder the terms: -8 + -4n = 2(12 + n) -8 + -4n = (12 * 2 + n * 2) -8 + -4n = (24 + 2n) Solving -8 + -4n = 24 + 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 + -4n + -2n = 24 + 2n + -2n Combine like terms: -4n + -2n = -6n -8 + -6n = 24 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + -6n = 24 + 0 -8 + -6n = 24 Add '8' to each side of the equation. -8 + 8 + -6n = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -6n = 24 + 8 -6n = 24 + 8 Combine like terms: 24 + 8 = 32 -6n = 32 Divide each side by '-6'. n = -5.333333333 Simplifying n = -5.333333333
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