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Simplifying 2m + 12 = 4m + -4 Reorder the terms: 12 + 2m = 4m + -4 Reorder the terms: 12 + 2m = -4 + 4m Solving 12 + 2m = -4 + 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. 12 + 2m + -4m = -4 + 4m + -4m Combine like terms: 2m + -4m = -2m 12 + -2m = -4 + 4m + -4m Combine like terms: 4m + -4m = 0 12 + -2m = -4 + 0 12 + -2m = -4 Add '-12' to each side of the equation. 12 + -12 + -2m = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -2m = -4 + -12 -2m = -4 + -12 Combine like terms: -4 + -12 = -16 -2m = -16 Divide each side by '-2'. m = 8 Simplifying m = 8
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