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Simplifying 6n + 3 = 2n + 31 Reorder the terms: 3 + 6n = 2n + 31 Reorder the terms: 3 + 6n = 31 + 2n Solving 3 + 6n = 31 + 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. 3 + 6n + -2n = 31 + 2n + -2n Combine like terms: 6n + -2n = 4n 3 + 4n = 31 + 2n + -2n Combine like terms: 2n + -2n = 0 3 + 4n = 31 + 0 3 + 4n = 31 Add '-3' to each side of the equation. 3 + -3 + 4n = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 4n = 31 + -3 4n = 31 + -3 Combine like terms: 31 + -3 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
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