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Simplifying 2(3n + 7) + -5(1 + 2n) = 0 Reorder the terms: 2(7 + 3n) + -5(1 + 2n) = 0 (7 * 2 + 3n * 2) + -5(1 + 2n) = 0 (14 + 6n) + -5(1 + 2n) = 0 14 + 6n + (1 * -5 + 2n * -5) = 0 14 + 6n + (-5 + -10n) = 0 Reorder the terms: 14 + -5 + 6n + -10n = 0 Combine like terms: 14 + -5 = 9 9 + 6n + -10n = 0 Combine like terms: 6n + -10n = -4n 9 + -4n = 0 Solving 9 + -4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4n = 0 + -9 -4n = 0 + -9 Combine like terms: 0 + -9 = -9 -4n = -9 Divide each side by '-4'. n = 2.25 Simplifying n = 2.25
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