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Simplifying 4(3n + 0.75) = 5n + 19 Reorder the terms: 4(0.75 + 3n) = 5n + 19 (0.75 * 4 + 3n * 4) = 5n + 19 (3 + 12n) = 5n + 19 Reorder the terms: 3 + 12n = 19 + 5n Solving 3 + 12n = 19 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 3 + 12n + -5n = 19 + 5n + -5n Combine like terms: 12n + -5n = 7n 3 + 7n = 19 + 5n + -5n Combine like terms: 5n + -5n = 0 3 + 7n = 19 + 0 3 + 7n = 19 Add '-3' to each side of the equation. 3 + -3 + 7n = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 7n = 19 + -3 7n = 19 + -3 Combine like terms: 19 + -3 = 16 7n = 16 Divide each side by '7'. n = 2.285714286 Simplifying n = 2.285714286
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