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Simplifying -6(n + -6) = 12 + -3(n + 7) Reorder the terms: -6(-6 + n) = 12 + -3(n + 7) (-6 * -6 + n * -6) = 12 + -3(n + 7) (36 + -6n) = 12 + -3(n + 7) Reorder the terms: 36 + -6n = 12 + -3(7 + n) 36 + -6n = 12 + (7 * -3 + n * -3) 36 + -6n = 12 + (-21 + -3n) Combine like terms: 12 + -21 = -9 36 + -6n = -9 + -3n Solving 36 + -6n = -9 + -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. 36 + -6n + 3n = -9 + -3n + 3n Combine like terms: -6n + 3n = -3n 36 + -3n = -9 + -3n + 3n Combine like terms: -3n + 3n = 0 36 + -3n = -9 + 0 36 + -3n = -9 Add '-36' to each side of the equation. 36 + -36 + -3n = -9 + -36 Combine like terms: 36 + -36 = 0 0 + -3n = -9 + -36 -3n = -9 + -36 Combine like terms: -9 + -36 = -45 -3n = -45 Divide each side by '-3'. n = 15 Simplifying n = 15
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