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Simplifying -1(3 + 2n) = -31 + 5n (3 * -1 + 2n * -1) = -31 + 5n (-3 + -2n) = -31 + 5n Solving -3 + -2n = -31 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -3 + -2n + -5n = -31 + 5n + -5n Combine like terms: -2n + -5n = -7n -3 + -7n = -31 + 5n + -5n Combine like terms: 5n + -5n = 0 -3 + -7n = -31 + 0 -3 + -7n = -31 Add '3' to each side of the equation. -3 + 3 + -7n = -31 + 3 Combine like terms: -3 + 3 = 0 0 + -7n = -31 + 3 -7n = -31 + 3 Combine like terms: -31 + 3 = -28 -7n = -28 Divide each side by '-7'. n = 4 Simplifying n = 4
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