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Simplifying m + 4m + -2 + -2m = 2m + 2 + -3 Reorder the terms: -2 + m + 4m + -2m = 2m + 2 + -3 Combine like terms: m + 4m = 5m -2 + 5m + -2m = 2m + 2 + -3 Combine like terms: 5m + -2m = 3m -2 + 3m = 2m + 2 + -3 Reorder the terms: -2 + 3m = 2 + -3 + 2m Combine like terms: 2 + -3 = -1 -2 + 3m = -1 + 2m Solving -2 + 3m = -1 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -2 + 3m + -2m = -1 + 2m + -2m Combine like terms: 3m + -2m = 1m -2 + 1m = -1 + 2m + -2m Combine like terms: 2m + -2m = 0 -2 + 1m = -1 + 0 -2 + 1m = -1 Add '2' to each side of the equation. -2 + 2 + 1m = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 1m = -1 + 2 1m = -1 + 2 Combine like terms: -1 + 2 = 1 1m = 1 Divide each side by '1'. m = 1 Simplifying m = 1
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