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Simplifying 2(b + 2) = 5(2b + -3) Reorder the terms: 2(2 + b) = 5(2b + -3) (2 * 2 + b * 2) = 5(2b + -3) (4 + 2b) = 5(2b + -3) Reorder the terms: 4 + 2b = 5(-3 + 2b) 4 + 2b = (-3 * 5 + 2b * 5) 4 + 2b = (-15 + 10b) Solving 4 + 2b = -15 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 4 + 2b + -10b = -15 + 10b + -10b Combine like terms: 2b + -10b = -8b 4 + -8b = -15 + 10b + -10b Combine like terms: 10b + -10b = 0 4 + -8b = -15 + 0 4 + -8b = -15 Add '-4' to each side of the equation. 4 + -4 + -8b = -15 + -4 Combine like terms: 4 + -4 = 0 0 + -8b = -15 + -4 -8b = -15 + -4 Combine like terms: -15 + -4 = -19 -8b = -19 Divide each side by '-8'. b = 2.375 Simplifying b = 2.375
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