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Simplifying 0.5(m + 2) + 4m = 2 + 6m Reorder the terms: 0.5(2 + m) + 4m = 2 + 6m (2 * 0.5 + m * 0.5) + 4m = 2 + 6m (1 + 0.5m) + 4m = 2 + 6m Combine like terms: 0.5m + 4m = 4.5m 1 + 4.5m = 2 + 6m Solving 1 + 4.5m = 2 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 1 + 4.5m + -6m = 2 + 6m + -6m Combine like terms: 4.5m + -6m = -1.5m 1 + -1.5m = 2 + 6m + -6m Combine like terms: 6m + -6m = 0 1 + -1.5m = 2 + 0 1 + -1.5m = 2 Add '-1' to each side of the equation. 1 + -1 + -1.5m = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -1.5m = 2 + -1 -1.5m = 2 + -1 Combine like terms: 2 + -1 = 1 -1.5m = 1 Divide each side by '-1.5'. m = -0.6666666667 Simplifying m = -0.6666666667
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