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Simplifying 4(1 + 0.5m) = 7m (1 * 4 + 0.5m * 4) = 7m (4 + 2m) = 7m Solving 4 + 2m = 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 4 + 2m + -7m = 7m + -7m Combine like terms: 2m + -7m = -5m 4 + -5m = 7m + -7m Combine like terms: 7m + -7m = 0 4 + -5m = 0 Add '-4' to each side of the equation. 4 + -4 + -5m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5m = 0 + -4 -5m = 0 + -4 Combine like terms: 0 + -4 = -4 -5m = -4 Divide each side by '-5'. m = 0.8 Simplifying m = 0.8
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