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Simplifying 3m + 2n + -1(7 + -1m) = 1 3m + 2n + (7 * -1 + -1m * -1) = 1 3m + 2n + (-7 + 1m) = 1 Reorder the terms: -7 + 3m + 1m + 2n = 1 Combine like terms: 3m + 1m = 4m -7 + 4m + 2n = 1 Solving -7 + 4m + 2n = 1 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 4m + 7 + 2n = 1 + 7 Reorder the terms: -7 + 7 + 4m + 2n = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4m + 2n = 1 + 7 4m + 2n = 1 + 7 Combine like terms: 1 + 7 = 8 4m + 2n = 8 Add '-2n' to each side of the equation. 4m + 2n + -2n = 8 + -2n Combine like terms: 2n + -2n = 0 4m + 0 = 8 + -2n 4m = 8 + -2n Divide each side by '4'. m = 2 + -0.5n Simplifying m = 2 + -0.5n
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