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Simplifying 7(5n + 8) = -3 + -12(7 + 9n) Reorder the terms: 7(8 + 5n) = -3 + -12(7 + 9n) (8 * 7 + 5n * 7) = -3 + -12(7 + 9n) (56 + 35n) = -3 + -12(7 + 9n) 56 + 35n = -3 + (7 * -12 + 9n * -12) 56 + 35n = -3 + (-84 + -108n) Combine like terms: -3 + -84 = -87 56 + 35n = -87 + -108n Solving 56 + 35n = -87 + -108n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '108n' to each side of the equation. 56 + 35n + 108n = -87 + -108n + 108n Combine like terms: 35n + 108n = 143n 56 + 143n = -87 + -108n + 108n Combine like terms: -108n + 108n = 0 56 + 143n = -87 + 0 56 + 143n = -87 Add '-56' to each side of the equation. 56 + -56 + 143n = -87 + -56 Combine like terms: 56 + -56 = 0 0 + 143n = -87 + -56 143n = -87 + -56 Combine like terms: -87 + -56 = -143 143n = -143 Divide each side by '143'. n = -1 Simplifying n = -1
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