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Simplifying 6n + 24 = 2n + -32 Reorder the terms: 24 + 6n = 2n + -32 Reorder the terms: 24 + 6n = -32 + 2n Solving 24 + 6n = -32 + 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. 24 + 6n + -2n = -32 + 2n + -2n Combine like terms: 6n + -2n = 4n 24 + 4n = -32 + 2n + -2n Combine like terms: 2n + -2n = 0 24 + 4n = -32 + 0 24 + 4n = -32 Add '-24' to each side of the equation. 24 + -24 + 4n = -32 + -24 Combine like terms: 24 + -24 = 0 0 + 4n = -32 + -24 4n = -32 + -24 Combine like terms: -32 + -24 = -56 4n = -56 Divide each side by '4'. n = -14 Simplifying n = -14
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