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Simplifying 2(-1n + 2) = 8 + -6(n + -4) Reorder the terms: 2(2 + -1n) = 8 + -6(n + -4) (2 * 2 + -1n * 2) = 8 + -6(n + -4) (4 + -2n) = 8 + -6(n + -4) Reorder the terms: 4 + -2n = 8 + -6(-4 + n) 4 + -2n = 8 + (-4 * -6 + n * -6) 4 + -2n = 8 + (24 + -6n) Combine like terms: 8 + 24 = 32 4 + -2n = 32 + -6n Solving 4 + -2n = 32 + -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. 4 + -2n + 6n = 32 + -6n + 6n Combine like terms: -2n + 6n = 4n 4 + 4n = 32 + -6n + 6n Combine like terms: -6n + 6n = 0 4 + 4n = 32 + 0 4 + 4n = 32 Add '-4' to each side of the equation. 4 + -4 + 4n = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 4n = 32 + -4 4n = 32 + -4 Combine like terms: 32 + -4 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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