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Simplifying 2(3n + -6) = 3(4n + -8) Reorder the terms: 2(-6 + 3n) = 3(4n + -8) (-6 * 2 + 3n * 2) = 3(4n + -8) (-12 + 6n) = 3(4n + -8) Reorder the terms: -12 + 6n = 3(-8 + 4n) -12 + 6n = (-8 * 3 + 4n * 3) -12 + 6n = (-24 + 12n) Solving -12 + 6n = -24 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -12 + 6n + -12n = -24 + 12n + -12n Combine like terms: 6n + -12n = -6n -12 + -6n = -24 + 12n + -12n Combine like terms: 12n + -12n = 0 -12 + -6n = -24 + 0 -12 + -6n = -24 Add '12' to each side of the equation. -12 + 12 + -6n = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -6n = -24 + 12 -6n = -24 + 12 Combine like terms: -24 + 12 = -12 -6n = -12 Divide each side by '-6'. n = 2 Simplifying n = 2
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