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Simplifying 3m + -2m + 3 + -4 = 3m + -5 + 6 Reorder the terms: 3 + -4 + 3m + -2m = 3m + -5 + 6 Combine like terms: 3 + -4 = -1 -1 + 3m + -2m = 3m + -5 + 6 Combine like terms: 3m + -2m = 1m -1 + 1m = 3m + -5 + 6 Reorder the terms: -1 + 1m = -5 + 6 + 3m Combine like terms: -5 + 6 = 1 -1 + 1m = 1 + 3m Solving -1 + 1m = 1 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -1 + 1m + -3m = 1 + 3m + -3m Combine like terms: 1m + -3m = -2m -1 + -2m = 1 + 3m + -3m Combine like terms: 3m + -3m = 0 -1 + -2m = 1 + 0 -1 + -2m = 1 Add '1' to each side of the equation. -1 + 1 + -2m = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -2m = 1 + 1 -2m = 1 + 1 Combine like terms: 1 + 1 = 2 -2m = 2 Divide each side by '-2'. m = -1 Simplifying m = -1
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