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Simplifying 5m + 21 = 8m + -3 Reorder the terms: 21 + 5m = 8m + -3 Reorder the terms: 21 + 5m = -3 + 8m Solving 21 + 5m = -3 + 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 + 5m + -8m = -3 + 8m + -8m Combine like terms: 5m + -8m = -3m 21 + -3m = -3 + 8m + -8m Combine like terms: 8m + -8m = 0 21 + -3m = -3 + 0 21 + -3m = -3 Add '-21' to each side of the equation. 21 + -21 + -3m = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -3m = -3 + -21 -3m = -3 + -21 Combine like terms: -3 + -21 = -24 -3m = -24 Divide each side by '-3'. m = 8 Simplifying m = 8
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