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Simplifying 4(-9n + 3) = 12 + 3n Reorder the terms: 4(3 + -9n) = 12 + 3n (3 * 4 + -9n * 4) = 12 + 3n (12 + -36n) = 12 + 3n Add '-12' to each side of the equation. 12 + -12 + -36n = 12 + -12 + 3n Combine like terms: 12 + -12 = 0 0 + -36n = 12 + -12 + 3n -36n = 12 + -12 + 3n Combine like terms: 12 + -12 = 0 -36n = 0 + 3n -36n = 3n Solving -36n = 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. -36n + -3n = 3n + -3n Combine like terms: -36n + -3n = -39n -39n = 3n + -3n Combine like terms: 3n + -3n = 0 -39n = 0 Divide each side by '-39'. n = 0 Simplifying n = 0
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