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