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Simplifying 3m + 2 = 4m + -6 Reorder the terms: 2 + 3m = 4m + -6 Reorder the terms: 2 + 3m = -6 + 4m Solving 2 + 3m = -6 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 2 + 3m + -4m = -6 + 4m + -4m Combine like terms: 3m + -4m = -1m 2 + -1m = -6 + 4m + -4m Combine like terms: 4m + -4m = 0 2 + -1m = -6 + 0 2 + -1m = -6 Add '-2' to each side of the equation. 2 + -2 + -1m = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = -6 + -2 -1m = -6 + -2 Combine like terms: -6 + -2 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8
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