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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 = -29 -29 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -29 + 1b = 0 Solving -29 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 1b = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 1b = 0 + 29 1b = 0 + 29 Combine like terms: 0 + 29 = 29 1b = 29 Divide each side by '1'. b = 29 Simplifying b = 29
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