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Simplifying -4(2b + 3) + (9b + -5) = 0 Reorder the terms: -4(3 + 2b) + (9b + -5) = 0 (3 * -4 + 2b * -4) + (9b + -5) = 0 (-12 + -8b) + (9b + -5) = 0 Reorder the terms: -12 + -8b + (-5 + 9b) = 0 Remove parenthesis around (-5 + 9b) -12 + -8b + -5 + 9b = 0 Reorder the terms: -12 + -5 + -8b + 9b = 0 Combine like terms: -12 + -5 = -17 -17 + -8b + 9b = 0 Combine like terms: -8b + 9b = 1b -17 + 1b = 0 Solving -17 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1b = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1b = 0 + 17 1b = 0 + 17 Combine like terms: 0 + 17 = 17 1b = 17 Divide each side by '1'. b = 17 Simplifying b = 17
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