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Simplifying 6n + -23 = -51 + 2n Reorder the terms: -23 + 6n = -51 + 2n Solving -23 + 6n = -51 + 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. -23 + 6n + -2n = -51 + 2n + -2n Combine like terms: 6n + -2n = 4n -23 + 4n = -51 + 2n + -2n Combine like terms: 2n + -2n = 0 -23 + 4n = -51 + 0 -23 + 4n = -51 Add '23' to each side of the equation. -23 + 23 + 4n = -51 + 23 Combine like terms: -23 + 23 = 0 0 + 4n = -51 + 23 4n = -51 + 23 Combine like terms: -51 + 23 = -28 4n = -28 Divide each side by '4'. n = -7 Simplifying n = -7
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