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Simplifying -4m + 7 = 12 + -3m Reorder the terms: 7 + -4m = 12 + -3m Solving 7 + -4m = 12 + -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. 7 + -4m + 3m = 12 + -3m + 3m Combine like terms: -4m + 3m = -1m 7 + -1m = 12 + -3m + 3m Combine like terms: -3m + 3m = 0 7 + -1m = 12 + 0 7 + -1m = 12 Add '-7' to each side of the equation. 7 + -7 + -1m = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 12 + -7 -1m = 12 + -7 Combine like terms: 12 + -7 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5
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