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Simplifying -6(3b + 2) + (19b + -5) = 0 Reorder the terms: -6(2 + 3b) + (19b + -5) = 0 (2 * -6 + 3b * -6) + (19b + -5) = 0 (-12 + -18b) + (19b + -5) = 0 Reorder the terms: -12 + -18b + (-5 + 19b) = 0 Remove parenthesis around (-5 + 19b) -12 + -18b + -5 + 19b = 0 Reorder the terms: -12 + -5 + -18b + 19b = 0 Combine like terms: -12 + -5 = -17 -17 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -17 + 1b = 0 Solving -17 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1b = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1b = 0 + 17 1b = 0 + 17 Combine like terms: 0 + 17 = 17 1b = 17 Divide each side by '1'. b = 17 Simplifying b = 17
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