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Simplifying -102 = 8(1 + 7n) + 2 -102 = (1 * 8 + 7n * 8) + 2 -102 = (8 + 56n) + 2 Reorder the terms: -102 = 8 + 2 + 56n Combine like terms: 8 + 2 = 10 -102 = 10 + 56n Solving -102 = 10 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. -102 + -56n = 10 + 56n + -56n Combine like terms: 56n + -56n = 0 -102 + -56n = 10 + 0 -102 + -56n = 10 Add '102' to each side of the equation. -102 + 102 + -56n = 10 + 102 Combine like terms: -102 + 102 = 0 0 + -56n = 10 + 102 -56n = 10 + 102 Combine like terms: 10 + 102 = 112 -56n = 112 Divide each side by '-56'. n = -2 Simplifying n = -2
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