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Simplifying 6n + -12 = 2n + 20 Reorder the terms: -12 + 6n = 2n + 20 Reorder the terms: -12 + 6n = 20 + 2n Solving -12 + 6n = 20 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -12 + 6n + -2n = 20 + 2n + -2n Combine like terms: 6n + -2n = 4n -12 + 4n = 20 + 2n + -2n Combine like terms: 2n + -2n = 0 -12 + 4n = 20 + 0 -12 + 4n = 20 Add '12' to each side of the equation. -12 + 12 + 4n = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 4n = 20 + 12 4n = 20 + 12 Combine like terms: 20 + 12 = 32 4n = 32 Divide each side by '4'. n = 8 Simplifying n = 8
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