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Simplifying 7(n + -8) = -31 + 2n Reorder the terms: 7(-8 + n) = -31 + 2n (-8 * 7 + n * 7) = -31 + 2n (-56 + 7n) = -31 + 2n Solving -56 + 7n = -31 + 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. -56 + 7n + -2n = -31 + 2n + -2n Combine like terms: 7n + -2n = 5n -56 + 5n = -31 + 2n + -2n Combine like terms: 2n + -2n = 0 -56 + 5n = -31 + 0 -56 + 5n = -31 Add '56' to each side of the equation. -56 + 56 + 5n = -31 + 56 Combine like terms: -56 + 56 = 0 0 + 5n = -31 + 56 5n = -31 + 56 Combine like terms: -31 + 56 = 25 5n = 25 Divide each side by '5'. n = 5 Simplifying n = 5
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