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Simplifying 30 + 12(n + -1) = 102 Reorder the terms: 30 + 12(-1 + n) = 102 30 + (-1 * 12 + n * 12) = 102 30 + (-12 + 12n) = 102 Combine like terms: 30 + -12 = 18 18 + 12n = 102 Solving 18 + 12n = 102 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 12n = 102 + -18 Combine like terms: 18 + -18 = 0 0 + 12n = 102 + -18 12n = 102 + -18 Combine like terms: 102 + -18 = 84 12n = 84 Divide each side by '12'. n = 7 Simplifying n = 7
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