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Simplifying 2(b + 2) + -5(2b + -3) = 3 Reorder the terms: 2(2 + b) + -5(2b + -3) = 3 (2 * 2 + b * 2) + -5(2b + -3) = 3 (4 + 2b) + -5(2b + -3) = 3 Reorder the terms: 4 + 2b + -5(-3 + 2b) = 3 4 + 2b + (-3 * -5 + 2b * -5) = 3 4 + 2b + (15 + -10b) = 3 Reorder the terms: 4 + 15 + 2b + -10b = 3 Combine like terms: 4 + 15 = 19 19 + 2b + -10b = 3 Combine like terms: 2b + -10b = -8b 19 + -8b = 3 Solving 19 + -8b = 3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -8b = 3 + -19 Combine like terms: 19 + -19 = 0 0 + -8b = 3 + -19 -8b = 3 + -19 Combine like terms: 3 + -19 = -16 -8b = -16 Divide each side by '-8'. b = 2 Simplifying b = 2
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