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