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Simplifying 2(n + 7) + -3(2n + 2) = 0 Reorder the terms: 2(7 + n) + -3(2n + 2) = 0 (7 * 2 + n * 2) + -3(2n + 2) = 0 (14 + 2n) + -3(2n + 2) = 0 Reorder the terms: 14 + 2n + -3(2 + 2n) = 0 14 + 2n + (2 * -3 + 2n * -3) = 0 14 + 2n + (-6 + -6n) = 0 Reorder the terms: 14 + -6 + 2n + -6n = 0 Combine like terms: 14 + -6 = 8 8 + 2n + -6n = 0 Combine like terms: 2n + -6n = -4n 8 + -4n = 0 Solving 8 + -4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -4n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = 0 + -8 -4n = 0 + -8 Combine like terms: 0 + -8 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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