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Simplifying -4(7n + 5) = 40 + 2n Reorder the terms: -4(5 + 7n) = 40 + 2n (5 * -4 + 7n * -4) = 40 + 2n (-20 + -28n) = 40 + 2n Solving -20 + -28n = 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. -20 + -28n + -2n = 40 + 2n + -2n Combine like terms: -28n + -2n = -30n -20 + -30n = 40 + 2n + -2n Combine like terms: 2n + -2n = 0 -20 + -30n = 40 + 0 -20 + -30n = 40 Add '20' to each side of the equation. -20 + 20 + -30n = 40 + 20 Combine like terms: -20 + 20 = 0 0 + -30n = 40 + 20 -30n = 40 + 20 Combine like terms: 40 + 20 = 60 -30n = 60 Divide each side by '-30'. n = -2 Simplifying n = -2
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