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Simplifying 6(-8n + 2) + -1n = -31 + -6n Reorder the terms: 6(2 + -8n) + -1n = -31 + -6n (2 * 6 + -8n * 6) + -1n = -31 + -6n (12 + -48n) + -1n = -31 + -6n Combine like terms: -48n + -1n = -49n 12 + -49n = -31 + -6n Solving 12 + -49n = -31 + -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. 12 + -49n + 6n = -31 + -6n + 6n Combine like terms: -49n + 6n = -43n 12 + -43n = -31 + -6n + 6n Combine like terms: -6n + 6n = 0 12 + -43n = -31 + 0 12 + -43n = -31 Add '-12' to each side of the equation. 12 + -12 + -43n = -31 + -12 Combine like terms: 12 + -12 = 0 0 + -43n = -31 + -12 -43n = -31 + -12 Combine like terms: -31 + -12 = -43 -43n = -43 Divide each side by '-43'. n = 1 Simplifying n = 1
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