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Simplifying 3(2n + 3) = 7(n + -4) + 5n Reorder the terms: 3(3 + 2n) = 7(n + -4) + 5n (3 * 3 + 2n * 3) = 7(n + -4) + 5n (9 + 6n) = 7(n + -4) + 5n Reorder the terms: 9 + 6n = 7(-4 + n) + 5n 9 + 6n = (-4 * 7 + n * 7) + 5n 9 + 6n = (-28 + 7n) + 5n Combine like terms: 7n + 5n = 12n 9 + 6n = -28 + 12n Solving 9 + 6n = -28 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 9 + 6n + -12n = -28 + 12n + -12n Combine like terms: 6n + -12n = -6n 9 + -6n = -28 + 12n + -12n Combine like terms: 12n + -12n = 0 9 + -6n = -28 + 0 9 + -6n = -28 Add '-9' to each side of the equation. 9 + -9 + -6n = -28 + -9 Combine like terms: 9 + -9 = 0 0 + -6n = -28 + -9 -6n = -28 + -9 Combine like terms: -28 + -9 = -37 -6n = -37 Divide each side by '-6'. n = 6.166666667 Simplifying n = 6.166666667
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