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Simplifying 3 + 8(-3n + 3) = 7(n + 6) + 5 Reorder the terms: 3 + 8(3 + -3n) = 7(n + 6) + 5 3 + (3 * 8 + -3n * 8) = 7(n + 6) + 5 3 + (24 + -24n) = 7(n + 6) + 5 Combine like terms: 3 + 24 = 27 27 + -24n = 7(n + 6) + 5 Reorder the terms: 27 + -24n = 7(6 + n) + 5 27 + -24n = (6 * 7 + n * 7) + 5 27 + -24n = (42 + 7n) + 5 Reorder the terms: 27 + -24n = 42 + 5 + 7n Combine like terms: 42 + 5 = 47 27 + -24n = 47 + 7n Solving 27 + -24n = 47 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 27 + -24n + -7n = 47 + 7n + -7n Combine like terms: -24n + -7n = -31n 27 + -31n = 47 + 7n + -7n Combine like terms: 7n + -7n = 0 27 + -31n = 47 + 0 27 + -31n = 47 Add '-27' to each side of the equation. 27 + -27 + -31n = 47 + -27 Combine like terms: 27 + -27 = 0 0 + -31n = 47 + -27 -31n = 47 + -27 Combine like terms: 47 + -27 = 20 -31n = 20 Divide each side by '-31'. n = -0.6451612903 Simplifying n = -0.6451612903
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