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Simplifying 3(3n + 3) = 7(8n + 1) + 7 Reorder the terms: 3(3 + 3n) = 7(8n + 1) + 7 (3 * 3 + 3n * 3) = 7(8n + 1) + 7 (9 + 9n) = 7(8n + 1) + 7 Reorder the terms: 9 + 9n = 7(1 + 8n) + 7 9 + 9n = (1 * 7 + 8n * 7) + 7 9 + 9n = (7 + 56n) + 7 Reorder the terms: 9 + 9n = 7 + 7 + 56n Combine like terms: 7 + 7 = 14 9 + 9n = 14 + 56n Solving 9 + 9n = 14 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 9 + 9n + -56n = 14 + 56n + -56n Combine like terms: 9n + -56n = -47n 9 + -47n = 14 + 56n + -56n Combine like terms: 56n + -56n = 0 9 + -47n = 14 + 0 9 + -47n = 14 Add '-9' to each side of the equation. 9 + -9 + -47n = 14 + -9 Combine like terms: 9 + -9 = 0 0 + -47n = 14 + -9 -47n = 14 + -9 Combine like terms: 14 + -9 = 5 -47n = 5 Divide each side by '-47'. n = -0.1063829787 Simplifying n = -0.1063829787
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