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Simplifying 2(3n + 4) = 8(5n + 3) + 3 Reorder the terms: 2(4 + 3n) = 8(5n + 3) + 3 (4 * 2 + 3n * 2) = 8(5n + 3) + 3 (8 + 6n) = 8(5n + 3) + 3 Reorder the terms: 8 + 6n = 8(3 + 5n) + 3 8 + 6n = (3 * 8 + 5n * 8) + 3 8 + 6n = (24 + 40n) + 3 Reorder the terms: 8 + 6n = 24 + 3 + 40n Combine like terms: 24 + 3 = 27 8 + 6n = 27 + 40n Solving 8 + 6n = 27 + 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. 8 + 6n + -40n = 27 + 40n + -40n Combine like terms: 6n + -40n = -34n 8 + -34n = 27 + 40n + -40n Combine like terms: 40n + -40n = 0 8 + -34n = 27 + 0 8 + -34n = 27 Add '-8' to each side of the equation. 8 + -8 + -34n = 27 + -8 Combine like terms: 8 + -8 = 0 0 + -34n = 27 + -8 -34n = 27 + -8 Combine like terms: 27 + -8 = 19 -34n = 19 Divide each side by '-34'. n = -0.5588235294 Simplifying n = -0.5588235294
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