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Simplifying (3m + -2) + (5m + -3) + (2m + 7) = 0 Reorder the terms: (-2 + 3m) + (5m + -3) + (2m + 7) = 0 Remove parenthesis around (-2 + 3m) -2 + 3m + (5m + -3) + (2m + 7) = 0 Reorder the terms: -2 + 3m + (-3 + 5m) + (2m + 7) = 0 Remove parenthesis around (-3 + 5m) -2 + 3m + -3 + 5m + (2m + 7) = 0 Reorder the terms: -2 + 3m + -3 + 5m + (7 + 2m) = 0 Remove parenthesis around (7 + 2m) -2 + 3m + -3 + 5m + 7 + 2m = 0 Reorder the terms: -2 + -3 + 7 + 3m + 5m + 2m = 0 Combine like terms: -2 + -3 = -5 -5 + 7 + 3m + 5m + 2m = 0 Combine like terms: -5 + 7 = 2 2 + 3m + 5m + 2m = 0 Combine like terms: 3m + 5m = 8m 2 + 8m + 2m = 0 Combine like terms: 8m + 2m = 10m 2 + 10m = 0 Solving 2 + 10m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 10m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 10m = 0 + -2 10m = 0 + -2 Combine like terms: 0 + -2 = -2 10m = -2 Divide each side by '10'. m = -0.2 Simplifying m = -0.2
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