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Simplifying -6(3b + 1) + (19b + -5) = 0 Reorder the terms: -6(1 + 3b) + (19b + -5) = 0 (1 * -6 + 3b * -6) + (19b + -5) = 0 (-6 + -18b) + (19b + -5) = 0 Reorder the terms: -6 + -18b + (-5 + 19b) = 0 Remove parenthesis around (-5 + 19b) -6 + -18b + -5 + 19b = 0 Reorder the terms: -6 + -5 + -18b + 19b = 0 Combine like terms: -6 + -5 = -11 -11 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -11 + 1b = 0 Solving -11 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1b = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1b = 0 + 11 1b = 0 + 11 Combine like terms: 0 + 11 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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