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Simplifying 6(3n + 4) = 9(5n + 5) + 4 Reorder the terms: 6(4 + 3n) = 9(5n + 5) + 4 (4 * 6 + 3n * 6) = 9(5n + 5) + 4 (24 + 18n) = 9(5n + 5) + 4 Reorder the terms: 24 + 18n = 9(5 + 5n) + 4 24 + 18n = (5 * 9 + 5n * 9) + 4 24 + 18n = (45 + 45n) + 4 Reorder the terms: 24 + 18n = 45 + 4 + 45n Combine like terms: 45 + 4 = 49 24 + 18n = 49 + 45n Solving 24 + 18n = 49 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 24 + 18n + -45n = 49 + 45n + -45n Combine like terms: 18n + -45n = -27n 24 + -27n = 49 + 45n + -45n Combine like terms: 45n + -45n = 0 24 + -27n = 49 + 0 24 + -27n = 49 Add '-24' to each side of the equation. 24 + -24 + -27n = 49 + -24 Combine like terms: 24 + -24 = 0 0 + -27n = 49 + -24 -27n = 49 + -24 Combine like terms: 49 + -24 = 25 -27n = 25 Divide each side by '-27'. n = -0.9259259259 Simplifying n = -0.9259259259
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