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Simplifying 3(n + -4) = -2n + -12 Reorder the terms: 3(-4 + n) = -2n + -12 (-4 * 3 + n * 3) = -2n + -12 (-12 + 3n) = -2n + -12 Reorder the terms: -12 + 3n = -12 + -2n Add '12' to each side of the equation. -12 + 12 + 3n = -12 + 12 + -2n Combine like terms: -12 + 12 = 0 0 + 3n = -12 + 12 + -2n 3n = -12 + 12 + -2n Combine like terms: -12 + 12 = 0 3n = 0 + -2n 3n = -2n Solving 3n = -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. 3n + 2n = -2n + 2n Combine like terms: 3n + 2n = 5n 5n = -2n + 2n Combine like terms: -2n + 2n = 0 5n = 0 Divide each side by '5'. n = 0 Simplifying n = 0
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