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Simplifying -9(2b + 3) + (19b + -4) = 0 Reorder the terms: -9(3 + 2b) + (19b + -4) = 0 (3 * -9 + 2b * -9) + (19b + -4) = 0 (-27 + -18b) + (19b + -4) = 0 Reorder the terms: -27 + -18b + (-4 + 19b) = 0 Remove parenthesis around (-4 + 19b) -27 + -18b + -4 + 19b = 0 Reorder the terms: -27 + -4 + -18b + 19b = 0 Combine like terms: -27 + -4 = -31 -31 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -31 + 1b = 0 Solving -31 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 1b = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 1b = 0 + 31 1b = 0 + 31 Combine like terms: 0 + 31 = 31 1b = 31 Divide each side by '1'. b = 31 Simplifying b = 31
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