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Simplifying 2.5(b + 3) = -2(b + -3) Reorder the terms: 2.5(3 + b) = -2(b + -3) (3 * 2.5 + b * 2.5) = -2(b + -3) (7.5 + 2.5b) = -2(b + -3) Reorder the terms: 7.5 + 2.5b = -2(-3 + b) 7.5 + 2.5b = (-3 * -2 + b * -2) 7.5 + 2.5b = (6 + -2b) Solving 7.5 + 2.5b = 6 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 7.5 + 2.5b + 2b = 6 + -2b + 2b Combine like terms: 2.5b + 2b = 4.5b 7.5 + 4.5b = 6 + -2b + 2b Combine like terms: -2b + 2b = 0 7.5 + 4.5b = 6 + 0 7.5 + 4.5b = 6 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 4.5b = 6 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 4.5b = 6 + -7.5 4.5b = 6 + -7.5 Combine like terms: 6 + -7.5 = -1.5 4.5b = -1.5 Divide each side by '4.5'. b = -0.3333333333 Simplifying b = -0.3333333333
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