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Simplifying 3(b + -2) + -4(2b + 5) = 9 Reorder the terms: 3(-2 + b) + -4(2b + 5) = 9 (-2 * 3 + b * 3) + -4(2b + 5) = 9 (-6 + 3b) + -4(2b + 5) = 9 Reorder the terms: -6 + 3b + -4(5 + 2b) = 9 -6 + 3b + (5 * -4 + 2b * -4) = 9 -6 + 3b + (-20 + -8b) = 9 Reorder the terms: -6 + -20 + 3b + -8b = 9 Combine like terms: -6 + -20 = -26 -26 + 3b + -8b = 9 Combine like terms: 3b + -8b = -5b -26 + -5b = 9 Solving -26 + -5b = 9 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -5b = 9 + 26 Combine like terms: -26 + 26 = 0 0 + -5b = 9 + 26 -5b = 9 + 26 Combine like terms: 9 + 26 = 35 -5b = 35 Divide each side by '-5'. b = -7 Simplifying b = -7
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