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Simplifying 3(2n + 4) = 8(5n + 3) + 6 Reorder the terms: 3(4 + 2n) = 8(5n + 3) + 6 (4 * 3 + 2n * 3) = 8(5n + 3) + 6 (12 + 6n) = 8(5n + 3) + 6 Reorder the terms: 12 + 6n = 8(3 + 5n) + 6 12 + 6n = (3 * 8 + 5n * 8) + 6 12 + 6n = (24 + 40n) + 6 Reorder the terms: 12 + 6n = 24 + 6 + 40n Combine like terms: 24 + 6 = 30 12 + 6n = 30 + 40n Solving 12 + 6n = 30 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 12 + 6n + -40n = 30 + 40n + -40n Combine like terms: 6n + -40n = -34n 12 + -34n = 30 + 40n + -40n Combine like terms: 40n + -40n = 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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