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Simplifying 8 + 3m = 5m + -6 Reorder the terms: 8 + 3m = -6 + 5m Solving 8 + 3m = -6 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 8 + 3m + -5m = -6 + 5m + -5m Combine like terms: 3m + -5m = -2m 8 + -2m = -6 + 5m + -5m Combine like terms: 5m + -5m = 0 8 + -2m = -6 + 0 8 + -2m = -6 Add '-8' to each side of the equation. 8 + -8 + -2m = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2m = -6 + -8 -2m = -6 + -8 Combine like terms: -6 + -8 = -14 -2m = -14 Divide each side by '-2'. m = 7 Simplifying m = 7
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