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Simplifying 3(2n + 3) = 9n + 3(n + -4) Reorder the terms: 3(3 + 2n) = 9n + 3(n + -4) (3 * 3 + 2n * 3) = 9n + 3(n + -4) (9 + 6n) = 9n + 3(n + -4) Reorder the terms: 9 + 6n = 9n + 3(-4 + n) 9 + 6n = 9n + (-4 * 3 + n * 3) 9 + 6n = 9n + (-12 + 3n) Reorder the terms: 9 + 6n = -12 + 9n + 3n Combine like terms: 9n + 3n = 12n 9 + 6n = -12 + 12n Solving 9 + 6n = -12 + 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 = -12 + 12n + -12n Combine like terms: 6n + -12n = -6n 9 + -6n = -12 + 12n + -12n Combine like terms: 12n + -12n = 0 9 + -6n = -12 + 0 9 + -6n = -12 Add '-9' to each side of the equation. 9 + -9 + -6n = -12 + -9 Combine like terms: 9 + -9 = 0 0 + -6n = -12 + -9 -6n = -12 + -9 Combine like terms: -12 + -9 = -21 -6n = -21 Divide each side by '-6'. n = 3.5 Simplifying n = 3.5
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