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Simplifying 3m + 21 = 8m + -4 Reorder the terms: 21 + 3m = 8m + -4 Reorder the terms: 21 + 3m = -4 + 8m Solving 21 + 3m = -4 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 21 + 3m + -8m = -4 + 8m + -8m Combine like terms: 3m + -8m = -5m 21 + -5m = -4 + 8m + -8m Combine like terms: 8m + -8m = 0 21 + -5m = -4 + 0 21 + -5m = -4 Add '-21' to each side of the equation. 21 + -21 + -5m = -4 + -21 Combine like terms: 21 + -21 = 0 0 + -5m = -4 + -21 -5m = -4 + -21 Combine like terms: -4 + -21 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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