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Simplifying 4(n + -1) = -2(8 + n) Reorder the terms: 4(-1 + n) = -2(8 + n) (-1 * 4 + n * 4) = -2(8 + n) (-4 + 4n) = -2(8 + n) -4 + 4n = (8 * -2 + n * -2) -4 + 4n = (-16 + -2n) Solving -4 + 4n = -16 + -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 = -16 + -2n + 2n Combine like terms: 4n + 2n = 6n -4 + 6n = -16 + -2n + 2n Combine like terms: -2n + 2n = 0 -4 + 6n = -16 + 0 -4 + 6n = -16 Add '4' to each side of the equation. -4 + 4 + 6n = -16 + 4 Combine like terms: -4 + 4 = 0 0 + 6n = -16 + 4 6n = -16 + 4 Combine like terms: -16 + 4 = -12 6n = -12 Divide each side by '6'. n = -2 Simplifying n = -2
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