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Simplifying -6(3b + 1) + (19b + -9) = 0 Reorder the terms: -6(1 + 3b) + (19b + -9) = 0 (1 * -6 + 3b * -6) + (19b + -9) = 0 (-6 + -18b) + (19b + -9) = 0 Reorder the terms: -6 + -18b + (-9 + 19b) = 0 Remove parenthesis around (-9 + 19b) -6 + -18b + -9 + 19b = 0 Reorder the terms: -6 + -9 + -18b + 19b = 0 Combine like terms: -6 + -9 = -15 -15 + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b -15 + 1b = 0 Solving -15 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1b = 0 + 15 1b = 0 + 15 Combine like terms: 0 + 15 = 15 1b = 15 Divide each side by '1'. b = 15 Simplifying b = 15
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