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Simplifying 102 = 8(1 + 6n) + -2 102 = (1 * 8 + 6n * 8) + -2 102 = (8 + 48n) + -2 Reorder the terms: 102 = 8 + -2 + 48n Combine like terms: 8 + -2 = 6 102 = 6 + 48n Solving 102 = 6 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 102 + -48n = 6 + 48n + -48n Combine like terms: 48n + -48n = 0 102 + -48n = 6 + 0 102 + -48n = 6 Add '-102' to each side of the equation. 102 + -102 + -48n = 6 + -102 Combine like terms: 102 + -102 = 0 0 + -48n = 6 + -102 -48n = 6 + -102 Combine like terms: 6 + -102 = -96 -48n = -96 Divide each side by '-48'. n = 2 Simplifying n = 2
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