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Simplifying 3(3n + 3) + 4(7 + 6n) = -29 Reorder the terms: 3(3 + 3n) + 4(7 + 6n) = -29 (3 * 3 + 3n * 3) + 4(7 + 6n) = -29 (9 + 9n) + 4(7 + 6n) = -29 9 + 9n + (7 * 4 + 6n * 4) = -29 9 + 9n + (28 + 24n) = -29 Reorder the terms: 9 + 28 + 9n + 24n = -29 Combine like terms: 9 + 28 = 37 37 + 9n + 24n = -29 Combine like terms: 9n + 24n = 33n 37 + 33n = -29 Solving 37 + 33n = -29 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 33n = -29 + -37 Combine like terms: 37 + -37 = 0 0 + 33n = -29 + -37 33n = -29 + -37 Combine like terms: -29 + -37 = -66 33n = -66 Divide each side by '33'. n = -2 Simplifying n = -2
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