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Simplifying -3m + 8 = 12 + m Reorder the terms: 8 + -3m = 12 + m Solving 8 + -3m = 12 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 8 + -3m + -1m = 12 + m + -1m Combine like terms: -3m + -1m = -4m 8 + -4m = 12 + m + -1m Combine like terms: m + -1m = 0 8 + -4m = 12 + 0 8 + -4m = 12 Add '-8' to each side of the equation. 8 + -8 + -4m = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -4m = 12 + -8 -4m = 12 + -8 Combine like terms: 12 + -8 = 4 -4m = 4 Divide each side by '-4'. m = -1 Simplifying m = -1
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