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Simplifying 7(n + 2) + 3(2n + -4) = 0 Reorder the terms: 7(2 + n) + 3(2n + -4) = 0 (2 * 7 + n * 7) + 3(2n + -4) = 0 (14 + 7n) + 3(2n + -4) = 0 Reorder the terms: 14 + 7n + 3(-4 + 2n) = 0 14 + 7n + (-4 * 3 + 2n * 3) = 0 14 + 7n + (-12 + 6n) = 0 Reorder the terms: 14 + -12 + 7n + 6n = 0 Combine like terms: 14 + -12 = 2 2 + 7n + 6n = 0 Combine like terms: 7n + 6n = 13n 2 + 13n = 0 Solving 2 + 13n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 13n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 13n = 0 + -2 13n = 0 + -2 Combine like terms: 0 + -2 = -2 13n = -2 Divide each side by '13'. n = -0.1538461538 Simplifying n = -0.1538461538
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