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Simplifying 7(2n + 3) + 4(3n + 2) = 0 Reorder the terms: 7(3 + 2n) + 4(3n + 2) = 0 (3 * 7 + 2n * 7) + 4(3n + 2) = 0 (21 + 14n) + 4(3n + 2) = 0 Reorder the terms: 21 + 14n + 4(2 + 3n) = 0 21 + 14n + (2 * 4 + 3n * 4) = 0 21 + 14n + (8 + 12n) = 0 Reorder the terms: 21 + 8 + 14n + 12n = 0 Combine like terms: 21 + 8 = 29 29 + 14n + 12n = 0 Combine like terms: 14n + 12n = 26n 29 + 26n = 0 Solving 29 + 26n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 26n = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 26n = 0 + -29 26n = 0 + -29 Combine like terms: 0 + -29 = -29 26n = -29 Divide each side by '26'. n = -1.115384615 Simplifying n = -1.115384615
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