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Simplifying 5(2b + 4) + 3(8b + -9) = 0 Reorder the terms: 5(4 + 2b) + 3(8b + -9) = 0 (4 * 5 + 2b * 5) + 3(8b + -9) = 0 (20 + 10b) + 3(8b + -9) = 0 Reorder the terms: 20 + 10b + 3(-9 + 8b) = 0 20 + 10b + (-9 * 3 + 8b * 3) = 0 20 + 10b + (-27 + 24b) = 0 Reorder the terms: 20 + -27 + 10b + 24b = 0 Combine like terms: 20 + -27 = -7 -7 + 10b + 24b = 0 Combine like terms: 10b + 24b = 34b -7 + 34b = 0 Solving -7 + 34b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 34b = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 34b = 0 + 7 34b = 0 + 7 Combine like terms: 0 + 7 = 7 34b = 7 Divide each side by '34'. b = 0.2058823529 Simplifying b = 0.2058823529
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