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Simplifying 3(6b + 7) = 5(5b + -4) Reorder the terms: 3(7 + 6b) = 5(5b + -4) (7 * 3 + 6b * 3) = 5(5b + -4) (21 + 18b) = 5(5b + -4) Reorder the terms: 21 + 18b = 5(-4 + 5b) 21 + 18b = (-4 * 5 + 5b * 5) 21 + 18b = (-20 + 25b) Solving 21 + 18b = -20 + 25b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-25b' to each side of the equation. 21 + 18b + -25b = -20 + 25b + -25b Combine like terms: 18b + -25b = -7b 21 + -7b = -20 + 25b + -25b Combine like terms: 25b + -25b = 0 21 + -7b = -20 + 0 21 + -7b = -20 Add '-21' to each side of the equation. 21 + -21 + -7b = -20 + -21 Combine like terms: 21 + -21 = 0 0 + -7b = -20 + -21 -7b = -20 + -21 Combine like terms: -20 + -21 = -41 -7b = -41 Divide each side by '-7'. b = 5.857142857 Simplifying b = 5.857142857
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