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Simplifying 6(3n + 32) + 7(n + 1) = 0 Reorder the terms: 6(32 + 3n) + 7(n + 1) = 0 (32 * 6 + 3n * 6) + 7(n + 1) = 0 (192 + 18n) + 7(n + 1) = 0 Reorder the terms: 192 + 18n + 7(1 + n) = 0 192 + 18n + (1 * 7 + n * 7) = 0 192 + 18n + (7 + 7n) = 0 Reorder the terms: 192 + 7 + 18n + 7n = 0 Combine like terms: 192 + 7 = 199 199 + 18n + 7n = 0 Combine like terms: 18n + 7n = 25n 199 + 25n = 0 Solving 199 + 25n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-199' to each side of the equation. 199 + -199 + 25n = 0 + -199 Combine like terms: 199 + -199 = 0 0 + 25n = 0 + -199 25n = 0 + -199 Combine like terms: 0 + -199 = -199 25n = -199 Divide each side by '25'. n = -7.96 Simplifying n = -7.96
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