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Simplifying 12 + -5m = 3m + -52 Reorder the terms: 12 + -5m = -52 + 3m Solving 12 + -5m = -52 + 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. 12 + -5m + -3m = -52 + 3m + -3m Combine like terms: -5m + -3m = -8m 12 + -8m = -52 + 3m + -3m Combine like terms: 3m + -3m = 0 12 + -8m = -52 + 0 12 + -8m = -52 Add '-12' to each side of the equation. 12 + -12 + -8m = -52 + -12 Combine like terms: 12 + -12 = 0 0 + -8m = -52 + -12 -8m = -52 + -12 Combine like terms: -52 + -12 = -64 -8m = -64 Divide each side by '-8'. m = 8 Simplifying m = 8
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