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Simplifying 6(3n + 35) + 7(n + 1) = 0 Reorder the terms: 6(35 + 3n) + 7(n + 1) = 0 (35 * 6 + 3n * 6) + 7(n + 1) = 0 (210 + 18n) + 7(n + 1) = 0 Reorder the terms: 210 + 18n + 7(1 + n) = 0 210 + 18n + (1 * 7 + n * 7) = 0 210 + 18n + (7 + 7n) = 0 Reorder the terms: 210 + 7 + 18n + 7n = 0 Combine like terms: 210 + 7 = 217 217 + 18n + 7n = 0 Combine like terms: 18n + 7n = 25n 217 + 25n = 0 Solving 217 + 25n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-217' to each side of the equation. 217 + -217 + 25n = 0 + -217 Combine like terms: 217 + -217 = 0 0 + 25n = 0 + -217 25n = 0 + -217 Combine like terms: 0 + -217 = -217 25n = -217 Divide each side by '25'. n = -8.68 Simplifying n = -8.68
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