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Simplifying 6(3n + 5) = 8(5n + 4) + 4 Reorder the terms: 6(5 + 3n) = 8(5n + 4) + 4 (5 * 6 + 3n * 6) = 8(5n + 4) + 4 (30 + 18n) = 8(5n + 4) + 4 Reorder the terms: 30 + 18n = 8(4 + 5n) + 4 30 + 18n = (4 * 8 + 5n * 8) + 4 30 + 18n = (32 + 40n) + 4 Reorder the terms: 30 + 18n = 32 + 4 + 40n Combine like terms: 32 + 4 = 36 30 + 18n = 36 + 40n Solving 30 + 18n = 36 + 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. 30 + 18n + -40n = 36 + 40n + -40n Combine like terms: 18n + -40n = -22n 30 + -22n = 36 + 40n + -40n Combine like terms: 40n + -40n = 0 30 + -22n = 36 + 0 30 + -22n = 36 Add '-30' to each side of the equation. 30 + -30 + -22n = 36 + -30 Combine like terms: 30 + -30 = 0 0 + -22n = 36 + -30 -22n = 36 + -30 Combine like terms: 36 + -30 = 6 -22n = 6 Divide each side by '-22'. n = -0.2727272727 Simplifying n = -0.2727272727
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