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Simplifying 0.5b + 4 = 1.5(2m + 3) Reorder the terms: 4 + 0.5b = 1.5(2m + 3) Reorder the terms: 4 + 0.5b = 1.5(3 + 2m) 4 + 0.5b = (3 * 1.5 + 2m * 1.5) 4 + 0.5b = (4.5 + 3m) Solving 4 + 0.5b = 4.5 + 3m Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.5b = 4.5 + -4 + 3m Combine like terms: 4 + -4 = 0 0 + 0.5b = 4.5 + -4 + 3m 0.5b = 4.5 + -4 + 3m Combine like terms: 4.5 + -4 = 0.5 0.5b = 0.5 + 3m Divide each side by '0.5'. b = 1 + 6m Simplifying b = 1 + 6m
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