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Simplifying 3(n + -1) = -2(n + -6) Reorder the terms: 3(-1 + n) = -2(n + -6) (-1 * 3 + n * 3) = -2(n + -6) (-3 + 3n) = -2(n + -6) Reorder the terms: -3 + 3n = -2(-6 + n) -3 + 3n = (-6 * -2 + n * -2) -3 + 3n = (12 + -2n) Solving -3 + 3n = 12 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -3 + 3n + 2n = 12 + -2n + 2n Combine like terms: 3n + 2n = 5n -3 + 5n = 12 + -2n + 2n Combine like terms: -2n + 2n = 0 -3 + 5n = 12 + 0 -3 + 5n = 12 Add '3' to each side of the equation. -3 + 3 + 5n = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5n = 12 + 3 5n = 12 + 3 Combine like terms: 12 + 3 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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