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Simplifying -8(3n + 7) = -31 + n Reorder the terms: -8(7 + 3n) = -31 + n (7 * -8 + 3n * -8) = -31 + n (-56 + -24n) = -31 + n Solving -56 + -24n = -31 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -56 + -24n + -1n = -31 + n + -1n Combine like terms: -24n + -1n = -25n -56 + -25n = -31 + n + -1n Combine like terms: n + -1n = 0 -56 + -25n = -31 + 0 -56 + -25n = -31 Add '56' to each side of the equation. -56 + 56 + -25n = -31 + 56 Combine like terms: -56 + 56 = 0 0 + -25n = -31 + 56 -25n = -31 + 56 Combine like terms: -31 + 56 = 25 -25n = 25 Divide each side by '-25'. n = -1 Simplifying n = -1
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