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Simplifying 0.5 + 6.4 = 4.9 + -0.1m Combine like terms: 0.5 + 6.4 = 6.9 6.9 = 4.9 + -0.1m Solving 6.9 = 4.9 + -0.1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.1m' to each side of the equation. 6.9 + 0.1m = 4.9 + -0.1m + 0.1m Combine like terms: -0.1m + 0.1m = 0.0 6.9 + 0.1m = 4.9 + 0.0 6.9 + 0.1m = 4.9 Add '-6.9' to each side of the equation. 6.9 + -6.9 + 0.1m = 4.9 + -6.9 Combine like terms: 6.9 + -6.9 = 0.0 0.0 + 0.1m = 4.9 + -6.9 0.1m = 4.9 + -6.9 Combine like terms: 4.9 + -6.9 = -2 0.1m = -2 Divide each side by '0.1'. m = -20 Simplifying m = -20
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