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Simplifying 102 = 6(-2n + 7) Reorder the terms: 102 = 6(7 + -2n) 102 = (7 * 6 + -2n * 6) 102 = (42 + -12n) Solving 102 = 42 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 102 + 12n = 42 + -12n + 12n Combine like terms: -12n + 12n = 0 102 + 12n = 42 + 0 102 + 12n = 42 Add '-102' to each side of the equation. 102 + -102 + 12n = 42 + -102 Combine like terms: 102 + -102 = 0 0 + 12n = 42 + -102 12n = 42 + -102 Combine like terms: 42 + -102 = -60 12n = -60 Divide each side by '12'. n = -5 Simplifying n = -5
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