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Simplifying 4(n + -3) = 3(2n + -8) Reorder the terms: 4(-3 + n) = 3(2n + -8) (-3 * 4 + n * 4) = 3(2n + -8) (-12 + 4n) = 3(2n + -8) Reorder the terms: -12 + 4n = 3(-8 + 2n) -12 + 4n = (-8 * 3 + 2n * 3) -12 + 4n = (-24 + 6n) Solving -12 + 4n = -24 + 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 = -24 + 6n + -6n Combine like terms: 4n + -6n = -2n -12 + -2n = -24 + 6n + -6n Combine like terms: 6n + -6n = 0 -12 + -2n = -24 + 0 -12 + -2n = -24 Add '12' to each side of the equation. -12 + 12 + -2n = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -2n = -24 + 12 -2n = -24 + 12 Combine like terms: -24 + 12 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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