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Simplifying -7(8 + 5n) = 31 + -6n (8 * -7 + 5n * -7) = 31 + -6n (-56 + -35n) = 31 + -6n Solving -56 + -35n = 31 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -56 + -35n + 6n = 31 + -6n + 6n Combine like terms: -35n + 6n = -29n -56 + -29n = 31 + -6n + 6n Combine like terms: -6n + 6n = 0 -56 + -29n = 31 + 0 -56 + -29n = 31 Add '56' to each side of the equation. -56 + 56 + -29n = 31 + 56 Combine like terms: -56 + 56 = 0 0 + -29n = 31 + 56 -29n = 31 + 56 Combine like terms: 31 + 56 = 87 -29n = 87 Divide each side by '-29'. n = -3 Simplifying n = -3
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