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Simplifying 3(2n + 3) = 7(5n + 2) + 4 Reorder the terms: 3(3 + 2n) = 7(5n + 2) + 4 (3 * 3 + 2n * 3) = 7(5n + 2) + 4 (9 + 6n) = 7(5n + 2) + 4 Reorder the terms: 9 + 6n = 7(2 + 5n) + 4 9 + 6n = (2 * 7 + 5n * 7) + 4 9 + 6n = (14 + 35n) + 4 Reorder the terms: 9 + 6n = 14 + 4 + 35n Combine like terms: 14 + 4 = 18 9 + 6n = 18 + 35n Solving 9 + 6n = 18 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 9 + 6n + -35n = 18 + 35n + -35n Combine like terms: 6n + -35n = -29n 9 + -29n = 18 + 35n + -35n Combine like terms: 35n + -35n = 0 9 + -29n = 18 + 0 9 + -29n = 18 Add '-9' to each side of the equation. 9 + -9 + -29n = 18 + -9 Combine like terms: 9 + -9 = 0 0 + -29n = 18 + -9 -29n = 18 + -9 Combine like terms: 18 + -9 = 9 -29n = 9 Divide each side by '-29'. n = -0.3103448276 Simplifying n = -0.3103448276
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