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Simplifying (-140) = 6(4n + 7) + 2n -140 = 6(4n + 7) + 2n Reorder the terms: -140 = 6(7 + 4n) + 2n -140 = (7 * 6 + 4n * 6) + 2n -140 = (42 + 24n) + 2n Combine like terms: 24n + 2n = 26n -140 = 42 + 26n Solving -140 = 42 + 26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26n' to each side of the equation. -140 + -26n = 42 + 26n + -26n Combine like terms: 26n + -26n = 0 -140 + -26n = 42 + 0 -140 + -26n = 42 Add '140' to each side of the equation. -140 + 140 + -26n = 42 + 140 Combine like terms: -140 + 140 = 0 0 + -26n = 42 + 140 -26n = 42 + 140 Combine like terms: 42 + 140 = 182 -26n = 182 Divide each side by '-26'. n = -7 Simplifying n = -7
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