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Simplifying 5(7 + 7n) = -31 + 2n (7 * 5 + 7n * 5) = -31 + 2n (35 + 35n) = -31 + 2n Solving 35 + 35n = -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. 35 + 35n + -2n = -31 + 2n + -2n Combine like terms: 35n + -2n = 33n 35 + 33n = -31 + 2n + -2n Combine like terms: 2n + -2n = 0 35 + 33n = -31 + 0 35 + 33n = -31 Add '-35' to each side of the equation. 35 + -35 + 33n = -31 + -35 Combine like terms: 35 + -35 = 0 0 + 33n = -31 + -35 33n = -31 + -35 Combine like terms: -31 + -35 = -66 33n = -66 Divide each side by '33'. n = -2 Simplifying n = -2
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