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Simplifying 7 + -1(2m + -3n) = 10 7 + (2m * -1 + -3n * -1) = 10 7 + (-2m + 3n) = 10 Solving 7 + -2m + 3n = 10 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 + -2m + -7 + 3n = 10 + -7 Reorder the terms: 7 + -7 + -2m + 3n = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -2m + 3n = 10 + -7 -2m + 3n = 10 + -7 Combine like terms: 10 + -7 = 3 -2m + 3n = 3 Add '-3n' to each side of the equation. -2m + 3n + -3n = 3 + -3n Combine like terms: 3n + -3n = 0 -2m + 0 = 3 + -3n -2m = 3 + -3n Divide each side by '-2'. m = -1.5 + 1.5n Simplifying m = -1.5 + 1.5n
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