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Simplifying 3(5b + 2.5) = 4.5b + -2 Reorder the terms: 3(2.5 + 5b) = 4.5b + -2 (2.5 * 3 + 5b * 3) = 4.5b + -2 (7.5 + 15b) = 4.5b + -2 Reorder the terms: 7.5 + 15b = -2 + 4.5b Solving 7.5 + 15b = -2 + 4.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4.5b' to each side of the equation. 7.5 + 15b + -4.5b = -2 + 4.5b + -4.5b Combine like terms: 15b + -4.5b = 10.5b 7.5 + 10.5b = -2 + 4.5b + -4.5b Combine like terms: 4.5b + -4.5b = 0.0 7.5 + 10.5b = -2 + 0.0 7.5 + 10.5b = -2 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 10.5b = -2 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 10.5b = -2 + -7.5 10.5b = -2 + -7.5 Combine like terms: -2 + -7.5 = -9.5 10.5b = -9.5 Divide each side by '10.5'. b = -0.9047619048 Simplifying b = -0.9047619048
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