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Simplifying 5m + 6 = 38 + -3m Reorder the terms: 6 + 5m = 38 + -3m Solving 6 + 5m = 38 + -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. 6 + 5m + 3m = 38 + -3m + 3m Combine like terms: 5m + 3m = 8m 6 + 8m = 38 + -3m + 3m Combine like terms: -3m + 3m = 0 6 + 8m = 38 + 0 6 + 8m = 38 Add '-6' to each side of the equation. 6 + -6 + 8m = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 8m = 38 + -6 8m = 38 + -6 Combine like terms: 38 + -6 = 32 8m = 32 Divide each side by '8'. m = 4 Simplifying m = 4
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