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Simplifying -2(3n + 6) = 3(-1n + 12) Reorder the terms: -2(6 + 3n) = 3(-1n + 12) (6 * -2 + 3n * -2) = 3(-1n + 12) (-12 + -6n) = 3(-1n + 12) Reorder the terms: -12 + -6n = 3(12 + -1n) -12 + -6n = (12 * 3 + -1n * 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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