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Simplifying 100 = -7(4n + 8) + 2n Reorder the terms: 100 = -7(8 + 4n) + 2n 100 = (8 * -7 + 4n * -7) + 2n 100 = (-56 + -28n) + 2n Combine like terms: -28n + 2n = -26n 100 = -56 + -26n Solving 100 = -56 + -26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '26n' to each side of the equation. 100 + 26n = -56 + -26n + 26n Combine like terms: -26n + 26n = 0 100 + 26n = -56 + 0 100 + 26n = -56 Add '-100' to each side of the equation. 100 + -100 + 26n = -56 + -100 Combine like terms: 100 + -100 = 0 0 + 26n = -56 + -100 26n = -56 + -100 Combine like terms: -56 + -100 = -156 26n = -156 Divide each side by '26'. n = -6 Simplifying n = -6
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