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Simplifying -6(3b + 2) + (19b + -9 + -9) = 0 Reorder the terms: -6(2 + 3b) + (19b + -9 + -9) = 0 (2 * -6 + 3b * -6) + (19b + -9 + -9) = 0 (-12 + -18b) + (19b + -9 + -9) = 0 Reorder the terms: -12 + -18b + (-9 + -9 + 19b) = 0 Combine like terms: -9 + -9 = -18 -12 + -18b + (-18 + 19b) = 0 Remove parenthesis around (-18 + 19b) -12 + -18b + -18 + 19b = 0 Reorder the terms: -12 + -18 + -18b + 19b = 0 Combine like terms: -12 + -18 = -30 -30 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -30 + 1b = 0 Solving -30 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1b = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 1b = 0 + 30 1b = 0 + 30 Combine like terms: 0 + 30 = 30 1b = 30 Divide each side by '1'. b = 30 Simplifying b = 30
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