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Simplifying 3(b + 5) = 4(2b + -5) Reorder the terms: 3(5 + b) = 4(2b + -5) (5 * 3 + b * 3) = 4(2b + -5) (15 + 3b) = 4(2b + -5) Reorder the terms: 15 + 3b = 4(-5 + 2b) 15 + 3b = (-5 * 4 + 2b * 4) 15 + 3b = (-20 + 8b) Solving 15 + 3b = -20 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 15 + 3b + -8b = -20 + 8b + -8b Combine like terms: 3b + -8b = -5b 15 + -5b = -20 + 8b + -8b Combine like terms: 8b + -8b = 0 15 + -5b = -20 + 0 15 + -5b = -20 Add '-15' to each side of the equation. 15 + -15 + -5b = -20 + -15 Combine like terms: 15 + -15 = 0 0 + -5b = -20 + -15 -5b = -20 + -15 Combine like terms: -20 + -15 = -35 -5b = -35 Divide each side by '-5'. b = 7 Simplifying b = 7
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