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Simplifying -31 + 2n = 5 + -6(6 + 5n) -31 + 2n = 5 + (6 * -6 + 5n * -6) -31 + 2n = 5 + (-36 + -30n) Combine like terms: 5 + -36 = -31 -31 + 2n = -31 + -30n Add '31' to each side of the equation. -31 + 31 + 2n = -31 + 31 + -30n Combine like terms: -31 + 31 = 0 0 + 2n = -31 + 31 + -30n 2n = -31 + 31 + -30n Combine like terms: -31 + 31 = 0 2n = 0 + -30n 2n = -30n Solving 2n = -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. 2n + 30n = -30n + 30n Combine like terms: 2n + 30n = 32n 32n = -30n + 30n Combine like terms: -30n + 30n = 0 32n = 0 Divide each side by '32'. n = 0 Simplifying n = 0
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