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Simplifying 4(n + -3) = 2 + -3n Reorder the terms: 4(-3 + n) = 2 + -3n (-3 * 4 + n * 4) = 2 + -3n (-12 + 4n) = 2 + -3n Solving -12 + 4n = 2 + -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 + 4n + 3n = 2 + -3n + 3n Combine like terms: 4n + 3n = 7n -12 + 7n = 2 + -3n + 3n Combine like terms: -3n + 3n = 0 -12 + 7n = 2 + 0 -12 + 7n = 2 Add '12' to each side of the equation. -12 + 12 + 7n = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7n = 2 + 12 7n = 2 + 12 Combine like terms: 2 + 12 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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