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Simplifying 0.5m + -3.5 = 3m + 6.5 Reorder the terms: -3.5 + 0.5m = 3m + 6.5 Reorder the terms: -3.5 + 0.5m = 6.5 + 3m Solving -3.5 + 0.5m = 6.5 + 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. -3.5 + 0.5m + -3m = 6.5 + 3m + -3m Combine like terms: 0.5m + -3m = -2.5m -3.5 + -2.5m = 6.5 + 3m + -3m Combine like terms: 3m + -3m = 0 -3.5 + -2.5m = 6.5 + 0 -3.5 + -2.5m = 6.5 Add '3.5' to each side of the equation. -3.5 + 3.5 + -2.5m = 6.5 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -2.5m = 6.5 + 3.5 -2.5m = 6.5 + 3.5 Combine like terms: 6.5 + 3.5 = 10 -2.5m = 10 Divide each side by '-2.5'. m = -4 Simplifying m = -4
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