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Simplifying -6(3b + 2) + (19b + -8) = 0 Reorder the terms: -6(2 + 3b) + (19b + -8) = 0 (2 * -6 + 3b * -6) + (19b + -8) = 0 (-12 + -18b) + (19b + -8) = 0 Reorder the terms: -12 + -18b + (-8 + 19b) = 0 Remove parenthesis around (-8 + 19b) -12 + -18b + -8 + 19b = 0 Reorder the terms: -12 + -8 + -18b + 19b = 0 Combine like terms: -12 + -8 = -20 -20 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -20 + 1b = 0 Solving -20 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1b = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1b = 0 + 20 1b = 0 + 20 Combine like terms: 0 + 20 = 20 1b = 20 Divide each side by '1'. b = 20 Simplifying b = 20
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