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Simplifying -6(3b + 3) + (19b + -5) = 0 Reorder the terms: -6(3 + 3b) + (19b + -5) = 0 (3 * -6 + 3b * -6) + (19b + -5) = 0 (-18 + -18b) + (19b + -5) = 0 Reorder the terms: -18 + -18b + (-5 + 19b) = 0 Remove parenthesis around (-5 + 19b) -18 + -18b + -5 + 19b = 0 Reorder the terms: -18 + -5 + -18b + 19b = 0 Combine like terms: -18 + -5 = -23 -23 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -23 + 1b = 0 Solving -23 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1b = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1b = 0 + 23 1b = 0 + 23 Combine like terms: 0 + 23 = 23 1b = 23 Divide each side by '1'. b = 23 Simplifying b = 23
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