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Simplifying 6(n + 2) = 9(n + -4) Reorder the terms: 6(2 + n) = 9(n + -4) (2 * 6 + n * 6) = 9(n + -4) (12 + 6n) = 9(n + -4) Reorder the terms: 12 + 6n = 9(-4 + n) 12 + 6n = (-4 * 9 + n * 9) 12 + 6n = (-36 + 9n) Solving 12 + 6n = -36 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 12 + 6n + -9n = -36 + 9n + -9n Combine like terms: 6n + -9n = -3n 12 + -3n = -36 + 9n + -9n Combine like terms: 9n + -9n = 0 12 + -3n = -36 + 0 12 + -3n = -36 Add '-12' to each side of the equation. 12 + -12 + -3n = -36 + -12 Combine like terms: 12 + -12 = 0 0 + -3n = -36 + -12 -3n = -36 + -12 Combine like terms: -36 + -12 = -48 -3n = -48 Divide each side by '-3'. n = 16 Simplifying n = 16
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