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Simplifying -9(2b + 3) + (19b + -5) = 0 Reorder the terms: -9(3 + 2b) + (19b + -5) = 0 (3 * -9 + 2b * -9) + (19b + -5) = 0 (-27 + -18b) + (19b + -5) = 0 Reorder the terms: -27 + -18b + (-5 + 19b) = 0 Remove parenthesis around (-5 + 19b) -27 + -18b + -5 + 19b = 0 Reorder the terms: -27 + -5 + -18b + 19b = 0 Combine like terms: -27 + -5 = -32 -32 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -32 + 1b = 0 Solving -32 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 1b = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 1b = 0 + 32 1b = 0 + 32 Combine like terms: 0 + 32 = 32 1b = 32 Divide each side by '1'. b = 32 Simplifying b = 32
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