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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 = 14 14 + 3b + -8b = 9 Combine like terms: 3b + -8b = -5b 14 + -5b = 9 Solving 14 + -5b = 9 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -5b = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -5b = 9 + -14 -5b = 9 + -14 Combine like terms: 9 + -14 = -5 -5b = -5 Divide each side by '-5'. b = 1 Simplifying b = 1
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