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Simplifying -6(3b + -4) + (19b + -5) = 0 Reorder the terms: -6(-4 + 3b) + (19b + -5) = 0 (-4 * -6 + 3b * -6) + (19b + -5) = 0 (24 + -18b) + (19b + -5) = 0 Reorder the terms: 24 + -18b + (-5 + 19b) = 0 Remove parenthesis around (-5 + 19b) 24 + -18b + -5 + 19b = 0 Reorder the terms: 24 + -5 + -18b + 19b = 0 Combine like terms: 24 + -5 = 19 19 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b 19 + 1b = 0 Solving 19 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 1b = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 1b = 0 + -19 1b = 0 + -19 Combine like terms: 0 + -19 = -19 1b = -19 Divide each side by '1'. b = -19 Simplifying b = -19
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