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Simplifying 6(-3n + 5) = 102 Reorder the terms: 6(5 + -3n) = 102 (5 * 6 + -3n * 6) = 102 (30 + -18n) = 102 Solving 30 + -18n = 102 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -18n = 102 + -30 Combine like terms: 30 + -30 = 0 0 + -18n = 102 + -30 -18n = 102 + -30 Combine like terms: 102 + -30 = 72 -18n = 72 Divide each side by '-18'. n = -4 Simplifying n = -4
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