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Simplifying -5(5b + -4) + 2(9b + 2) = 0 Reorder the terms: -5(-4 + 5b) + 2(9b + 2) = 0 (-4 * -5 + 5b * -5) + 2(9b + 2) = 0 (20 + -25b) + 2(9b + 2) = 0 Reorder the terms: 20 + -25b + 2(2 + 9b) = 0 20 + -25b + (2 * 2 + 9b * 2) = 0 20 + -25b + (4 + 18b) = 0 Reorder the terms: 20 + 4 + -25b + 18b = 0 Combine like terms: 20 + 4 = 24 24 + -25b + 18b = 0 Combine like terms: -25b + 18b = -7b 24 + -7b = 0 Solving 24 + -7b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -7b = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -7b = 0 + -24 -7b = 0 + -24 Combine like terms: 0 + -24 = -24 -7b = -24 Divide each side by '-7'. b = 3.428571429 Simplifying b = 3.428571429
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