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Simplifying 8(1 + -6n) + -2 = -40 + -2n (1 * 8 + -6n * 8) + -2 = -40 + -2n (8 + -48n) + -2 = -40 + -2n Reorder the terms: 8 + -2 + -48n = -40 + -2n Combine like terms: 8 + -2 = 6 6 + -48n = -40 + -2n Solving 6 + -48n = -40 + -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. 6 + -48n + 2n = -40 + -2n + 2n Combine like terms: -48n + 2n = -46n 6 + -46n = -40 + -2n + 2n Combine like terms: -2n + 2n = 0 6 + -46n = -40 + 0 6 + -46n = -40 Add '-6' to each side of the equation. 6 + -6 + -46n = -40 + -6 Combine like terms: 6 + -6 = 0 0 + -46n = -40 + -6 -46n = -40 + -6 Combine like terms: -40 + -6 = -46 -46n = -46 Divide each side by '-46'. n = 1 Simplifying n = 1
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