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Simplifying 7(3b + 5) + -4(2b + -9) = 0 Reorder the terms: 7(5 + 3b) + -4(2b + -9) = 0 (5 * 7 + 3b * 7) + -4(2b + -9) = 0 (35 + 21b) + -4(2b + -9) = 0 Reorder the terms: 35 + 21b + -4(-9 + 2b) = 0 35 + 21b + (-9 * -4 + 2b * -4) = 0 35 + 21b + (36 + -8b) = 0 Reorder the terms: 35 + 36 + 21b + -8b = 0 Combine like terms: 35 + 36 = 71 71 + 21b + -8b = 0 Combine like terms: 21b + -8b = 13b 71 + 13b = 0 Solving 71 + 13b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + -71 + 13b = 0 + -71 Combine like terms: 71 + -71 = 0 0 + 13b = 0 + -71 13b = 0 + -71 Combine like terms: 0 + -71 = -71 13b = -71 Divide each side by '13'. b = -5.461538462 Simplifying b = -5.461538462
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