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Simplifying 4(n + -3) = 3(4 + 2n) Reorder the terms: 4(-3 + n) = 3(4 + 2n) (-3 * 4 + n * 4) = 3(4 + 2n) (-12 + 4n) = 3(4 + 2n) -12 + 4n = (4 * 3 + 2n * 3) -12 + 4n = (12 + 6n) Solving -12 + 4n = 12 + 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 + 4n + -6n = 12 + 6n + -6n Combine like terms: 4n + -6n = -2n -12 + -2n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -12 + -2n = 12 + 0 -12 + -2n = 12 Add '12' to each side of the equation. -12 + 12 + -2n = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -2n = 12 + 12 -2n = 12 + 12 Combine like terms: 12 + 12 = 24 -2n = 24 Divide each side by '-2'. n = -12 Simplifying n = -12
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