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Simplifying 13(b + -2) + -4(2b + 5) = 9 Reorder the terms: 13(-2 + b) + -4(2b + 5) = 9 (-2 * 13 + b * 13) + -4(2b + 5) = 9 (-26 + 13b) + -4(2b + 5) = 9 Reorder the terms: -26 + 13b + -4(5 + 2b) = 9 -26 + 13b + (5 * -4 + 2b * -4) = 9 -26 + 13b + (-20 + -8b) = 9 Reorder the terms: -26 + -20 + 13b + -8b = 9 Combine like terms: -26 + -20 = -46 -46 + 13b + -8b = 9 Combine like terms: 13b + -8b = 5b -46 + 5b = 9 Solving -46 + 5b = 9 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 5b = 9 + 46 Combine like terms: -46 + 46 = 0 0 + 5b = 9 + 46 5b = 9 + 46 Combine like terms: 9 + 46 = 55 5b = 55 Divide each side by '5'. b = 11 Simplifying b = 11
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