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Simplifying 2(1.5m + 3) = 3.5m + 1 Reorder the terms: 2(3 + 1.5m) = 3.5m + 1 (3 * 2 + 1.5m * 2) = 3.5m + 1 (6 + 3m) = 3.5m + 1 Reorder the terms: 6 + 3m = 1 + 3.5m Solving 6 + 3m = 1 + 3.5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3.5m' to each side of the equation. 6 + 3m + -3.5m = 1 + 3.5m + -3.5m Combine like terms: 3m + -3.5m = -0.5m 6 + -0.5m = 1 + 3.5m + -3.5m Combine like terms: 3.5m + -3.5m = 0.0 6 + -0.5m = 1 + 0.0 6 + -0.5m = 1 Add '-6' to each side of the equation. 6 + -6 + -0.5m = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -0.5m = 1 + -6 -0.5m = 1 + -6 Combine like terms: 1 + -6 = -5 -0.5m = -5 Divide each side by '-0.5'. m = 10 Simplifying m = 10
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