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Simplifying 3m + 21 = 4m + -8 Reorder the terms: 21 + 3m = 4m + -8 Reorder the terms: 21 + 3m = -8 + 4m Solving 21 + 3m = -8 + 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. 21 + 3m + -4m = -8 + 4m + -4m Combine like terms: 3m + -4m = -1m 21 + -1m = -8 + 4m + -4m Combine like terms: 4m + -4m = 0 21 + -1m = -8 + 0 21 + -1m = -8 Add '-21' to each side of the equation. 21 + -21 + -1m = -8 + -21 Combine like terms: 21 + -21 = 0 0 + -1m = -8 + -21 -1m = -8 + -21 Combine like terms: -8 + -21 = -29 -1m = -29 Divide each side by '-1'. m = 29 Simplifying m = 29
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