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Simplifying 3(3n + -4) = 3(n + 4) Reorder the terms: 3(-4 + 3n) = 3(n + 4) (-4 * 3 + 3n * 3) = 3(n + 4) (-12 + 9n) = 3(n + 4) Reorder the terms: -12 + 9n = 3(4 + n) -12 + 9n = (4 * 3 + n * 3) -12 + 9n = (12 + 3n) Solving -12 + 9n = 12 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -12 + 9n + -3n = 12 + 3n + -3n Combine like terms: 9n + -3n = 6n -12 + 6n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + 6n = 12 + 0 -12 + 6n = 12 Add '12' to each side of the equation. -12 + 12 + 6n = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6n = 12 + 12 6n = 12 + 12 Combine like terms: 12 + 12 = 24 6n = 24 Divide each side by '6'. n = 4 Simplifying n = 4
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