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Simplifying 8x + 4(5 + -7n) = -2(n + 1) 8x + (5 * 4 + -7n * 4) = -2(n + 1) 8x + (20 + -28n) = -2(n + 1) Reorder the terms: 20 + -28n + 8x = -2(n + 1) Reorder the terms: 20 + -28n + 8x = -2(1 + n) 20 + -28n + 8x = (1 * -2 + n * -2) 20 + -28n + 8x = (-2 + -2n) Solving 20 + -28n + 8x = -2 + -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. 20 + -28n + 2n + 8x = -2 + -2n + 2n Combine like terms: -28n + 2n = -26n 20 + -26n + 8x = -2 + -2n + 2n Combine like terms: -2n + 2n = 0 20 + -26n + 8x = -2 + 0 20 + -26n + 8x = -2 Add '-20' to each side of the equation. 20 + -26n + -20 + 8x = -2 + -20 Reorder the terms: 20 + -20 + -26n + 8x = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -26n + 8x = -2 + -20 -26n + 8x = -2 + -20 Combine like terms: -2 + -20 = -22 -26n + 8x = -22 Add '-8x' to each side of the equation. -26n + 8x + -8x = -22 + -8x Combine like terms: 8x + -8x = 0 -26n + 0 = -22 + -8x -26n = -22 + -8x Divide each side by '-26'. n = 0.8461538462 + 0.3076923077x Simplifying n = 0.8461538462 + 0.3076923077x
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