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Simplifying -5(5b + -5) = 3(8b + 6) Reorder the terms: -5(-5 + 5b) = 3(8b + 6) (-5 * -5 + 5b * -5) = 3(8b + 6) (25 + -25b) = 3(8b + 6) Reorder the terms: 25 + -25b = 3(6 + 8b) 25 + -25b = (6 * 3 + 8b * 3) 25 + -25b = (18 + 24b) Solving 25 + -25b = 18 + 24b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24b' to each side of the equation. 25 + -25b + -24b = 18 + 24b + -24b Combine like terms: -25b + -24b = -49b 25 + -49b = 18 + 24b + -24b Combine like terms: 24b + -24b = 0 25 + -49b = 18 + 0 25 + -49b = 18 Add '-25' to each side of the equation. 25 + -25 + -49b = 18 + -25 Combine like terms: 25 + -25 = 0 0 + -49b = 18 + -25 -49b = 18 + -25 Combine like terms: 18 + -25 = -7 -49b = -7 Divide each side by '-49'. b = 0.1428571429 Simplifying b = 0.1428571429
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