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Simplifying -8 = -4(n + 1) + -2(n + -1) Reorder the terms: -8 = -4(1 + n) + -2(n + -1) -8 = (1 * -4 + n * -4) + -2(n + -1) -8 = (-4 + -4n) + -2(n + -1) Reorder the terms: -8 = -4 + -4n + -2(-1 + n) -8 = -4 + -4n + (-1 * -2 + n * -2) -8 = -4 + -4n + (2 + -2n) Reorder the terms: -8 = -4 + 2 + -4n + -2n Combine like terms: -4 + 2 = -2 -8 = -2 + -4n + -2n Combine like terms: -4n + -2n = -6n -8 = -2 + -6n Solving -8 = -2 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -8 + 6n = -2 + -6n + 6n Combine like terms: -6n + 6n = 0 -8 + 6n = -2 + 0 -8 + 6n = -2 Add '8' to each side of the equation. -8 + 8 + 6n = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 6n = -2 + 8 6n = -2 + 8 Combine like terms: -2 + 8 = 6 6n = 6 Divide each side by '6'. n = 1 Simplifying n = 1
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