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Simplifying (19b + -9) + -9(2b + 4) = -6 Reorder the terms: (-9 + 19b) + -9(2b + 4) = -6 Remove parenthesis around (-9 + 19b) -9 + 19b + -9(2b + 4) = -6 Reorder the terms: -9 + 19b + -9(4 + 2b) = -6 -9 + 19b + (4 * -9 + 2b * -9) = -6 -9 + 19b + (-36 + -18b) = -6 Reorder the terms: -9 + -36 + 19b + -18b = -6 Combine like terms: -9 + -36 = -45 -45 + 19b + -18b = -6 Combine like terms: 19b + -18b = 1b -45 + 1b = -6 Solving -45 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 1b = -6 + 45 Combine like terms: -45 + 45 = 0 0 + 1b = -6 + 45 1b = -6 + 45 Combine like terms: -6 + 45 = 39 1b = 39 Divide each side by '1'. b = 39 Simplifying b = 39
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