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Simplifying 3m + 7 + 5r = 2n + 7 Reorder the terms: 7 + 3m + 5r = 2n + 7 Reorder the terms: 7 + 3m + 5r = 7 + 2n Add '-7' to each side of the equation. 7 + 3m + -7 + 5r = 7 + -7 + 2n Reorder the terms: 7 + -7 + 3m + 5r = 7 + -7 + 2n Combine like terms: 7 + -7 = 0 0 + 3m + 5r = 7 + -7 + 2n 3m + 5r = 7 + -7 + 2n Combine like terms: 7 + -7 = 0 3m + 5r = 0 + 2n 3m + 5r = 2n Solving 3m + 5r = 2n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5r' to each side of the equation. 3m + 5r + -5r = 2n + -5r Combine like terms: 5r + -5r = 0 3m + 0 = 2n + -5r 3m = 2n + -5r Divide each side by '3'. m = 0.6666666667n + -1.666666667r Simplifying m = 0.6666666667n + -1.666666667r
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