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Simplifying 0.7m + 4.6 = 7.3 + -0.2m Reorder the terms: 4.6 + 0.7m = 7.3 + -0.2m Solving 4.6 + 0.7m = 7.3 + -0.2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '0.2m' to each side of the equation. 4.6 + 0.7m + 0.2m = 7.3 + -0.2m + 0.2m Combine like terms: 0.7m + 0.2m = 0.9m 4.6 + 0.9m = 7.3 + -0.2m + 0.2m Combine like terms: -0.2m + 0.2m = 0.0 4.6 + 0.9m = 7.3 + 0.0 4.6 + 0.9m = 7.3 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.9m = 7.3 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.9m = 7.3 + -4.6 0.9m = 7.3 + -4.6 Combine like terms: 7.3 + -4.6 = 2.7 0.9m = 2.7 Divide each side by '0.9'. m = 3 Simplifying m = 3
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