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Simplifying 4(n + -1) = 2n + -12 Reorder the terms: 4(-1 + n) = 2n + -12 (-1 * 4 + n * 4) = 2n + -12 (-4 + 4n) = 2n + -12 Reorder the terms: -4 + 4n = -12 + 2n Solving -4 + 4n = -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. -4 + 4n + -2n = -12 + 2n + -2n Combine like terms: 4n + -2n = 2n -4 + 2n = -12 + 2n + -2n Combine like terms: 2n + -2n = 0 -4 + 2n = -12 + 0 -4 + 2n = -12 Add '4' to each side of the equation. -4 + 4 + 2n = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 2n = -12 + 4 2n = -12 + 4 Combine like terms: -12 + 4 = -8 2n = -8 Divide each side by '2'. n = -4 Simplifying n = -4
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