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Simplifying 6(n + -2) = 3(n + 12) Reorder the terms: 6(-2 + n) = 3(n + 12) (-2 * 6 + n * 6) = 3(n + 12) (-12 + 6n) = 3(n + 12) Reorder the terms: -12 + 6n = 3(12 + n) -12 + 6n = (12 * 3 + n * 3) -12 + 6n = (36 + 3n) Solving -12 + 6n = 36 + 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. -12 + 6n + -3n = 36 + 3n + -3n Combine like terms: 6n + -3n = 3n -12 + 3n = 36 + 3n + -3n Combine like terms: 3n + -3n = 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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