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Simplifying [3m + -2] = [5m + -10] Reorder the terms: [-2 + 3m] = [5m + -10] Remove brackets around [-2 + 3m] -2 + 3m = [5m + -10] Reorder the terms: -2 + 3m = [-10 + 5m] Remove brackets around [-10 + 5m] -2 + 3m = -10 + 5m Solving -2 + 3m = -10 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -2 + 3m + -5m = -10 + 5m + -5m Combine like terms: 3m + -5m = -2m -2 + -2m = -10 + 5m + -5m Combine like terms: 5m + -5m = 0 -2 + -2m = -10 + 0 -2 + -2m = -10 Add '2' to each side of the equation. -2 + 2 + -2m = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -2m = -10 + 2 -2m = -10 + 2 Combine like terms: -10 + 2 = -8 -2m = -8 Divide each side by '-2'. m = 4 Simplifying m = 4
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