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Simplifying 4(3n + 3) = 9(5n + 1) + 6 Reorder the terms: 4(3 + 3n) = 9(5n + 1) + 6 (3 * 4 + 3n * 4) = 9(5n + 1) + 6 (12 + 12n) = 9(5n + 1) + 6 Reorder the terms: 12 + 12n = 9(1 + 5n) + 6 12 + 12n = (1 * 9 + 5n * 9) + 6 12 + 12n = (9 + 45n) + 6 Reorder the terms: 12 + 12n = 9 + 6 + 45n Combine like terms: 9 + 6 = 15 12 + 12n = 15 + 45n Solving 12 + 12n = 15 + 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. 12 + 12n + -45n = 15 + 45n + -45n Combine like terms: 12n + -45n = -33n 12 + -33n = 15 + 45n + -45n Combine like terms: 45n + -45n = 0 12 + -33n = 15 + 0 12 + -33n = 15 Add '-12' to each side of the equation. 12 + -12 + -33n = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -33n = 15 + -12 -33n = 15 + -12 Combine like terms: 15 + -12 = 3 -33n = 3 Divide each side by '-33'. n = -0.09090909091 Simplifying n = -0.09090909091
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