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Simplifying 4(2n + 3) = 7(6n + 3) + 9 Reorder the terms: 4(3 + 2n) = 7(6n + 3) + 9 (3 * 4 + 2n * 4) = 7(6n + 3) + 9 (12 + 8n) = 7(6n + 3) + 9 Reorder the terms: 12 + 8n = 7(3 + 6n) + 9 12 + 8n = (3 * 7 + 6n * 7) + 9 12 + 8n = (21 + 42n) + 9 Reorder the terms: 12 + 8n = 21 + 9 + 42n Combine like terms: 21 + 9 = 30 12 + 8n = 30 + 42n Solving 12 + 8n = 30 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 12 + 8n + -42n = 30 + 42n + -42n Combine like terms: 8n + -42n = -34n 12 + -34n = 30 + 42n + -42n Combine like terms: 42n + -42n = 0 12 + -34n = 30 + 0 12 + -34n = 30 Add '-12' to each side of the equation. 12 + -12 + -34n = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -34n = 30 + -12 -34n = 30 + -12 Combine like terms: 30 + -12 = 18 -34n = 18 Divide each side by '-34'. n = -0.5294117647 Simplifying n = -0.5294117647
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