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Simplifying -5(2b + 3) + 9(11b + -5) = 0 Reorder the terms: -5(3 + 2b) + 9(11b + -5) = 0 (3 * -5 + 2b * -5) + 9(11b + -5) = 0 (-15 + -10b) + 9(11b + -5) = 0 Reorder the terms: -15 + -10b + 9(-5 + 11b) = 0 -15 + -10b + (-5 * 9 + 11b * 9) = 0 -15 + -10b + (-45 + 99b) = 0 Reorder the terms: -15 + -45 + -10b + 99b = 0 Combine like terms: -15 + -45 = -60 -60 + -10b + 99b = 0 Combine like terms: -10b + 99b = 89b -60 + 89b = 0 Solving -60 + 89b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 89b = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 89b = 0 + 60 89b = 0 + 60 Combine like terms: 0 + 60 = 60 89b = 60 Divide each side by '89'. b = 0.6741573034 Simplifying b = 0.6741573034
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