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Simplifying -2(2n + -5) + -3 = -7n + 31 Reorder the terms: -2(-5 + 2n) + -3 = -7n + 31 (-5 * -2 + 2n * -2) + -3 = -7n + 31 (10 + -4n) + -3 = -7n + 31 Reorder the terms: 10 + -3 + -4n = -7n + 31 Combine like terms: 10 + -3 = 7 7 + -4n = -7n + 31 Reorder the terms: 7 + -4n = 31 + -7n Solving 7 + -4n = 31 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 7 + -4n + 7n = 31 + -7n + 7n Combine like terms: -4n + 7n = 3n 7 + 3n = 31 + -7n + 7n Combine like terms: -7n + 7n = 0 7 + 3n = 31 + 0 7 + 3n = 31 Add '-7' to each side of the equation. 7 + -7 + 3n = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 3n = 31 + -7 3n = 31 + -7 Combine like terms: 31 + -7 = 24 3n = 24 Divide each side by '3'. n = 8 Simplifying n = 8
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