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Simplifying -12(n + -4) = 3(n + -24) Reorder the terms: -12(-4 + n) = 3(n + -24) (-4 * -12 + n * -12) = 3(n + -24) (48 + -12n) = 3(n + -24) Reorder the terms: 48 + -12n = 3(-24 + n) 48 + -12n = (-24 * 3 + n * 3) 48 + -12n = (-72 + 3n) Solving 48 + -12n = -72 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 48 + -12n + -3n = -72 + 3n + -3n Combine like terms: -12n + -3n = -15n 48 + -15n = -72 + 3n + -3n Combine like terms: 3n + -3n = 0 48 + -15n = -72 + 0 48 + -15n = -72 Add '-48' to each side of the equation. 48 + -48 + -15n = -72 + -48 Combine like terms: 48 + -48 = 0 0 + -15n = -72 + -48 -15n = -72 + -48 Combine like terms: -72 + -48 = -120 -15n = -120 Divide each side by '-15'. n = 8 Simplifying n = 8
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