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Simplifying 3m + 7 = 4m + -12 Reorder the terms: 7 + 3m = 4m + -12 Reorder the terms: 7 + 3m = -12 + 4m Solving 7 + 3m = -12 + 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. 7 + 3m + -4m = -12 + 4m + -4m Combine like terms: 3m + -4m = -1m 7 + -1m = -12 + 4m + -4m Combine like terms: 4m + -4m = 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 = -19 -1m = -19 Divide each side by '-1'. m = 19 Simplifying m = 19
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