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Simplifying (19b + -8) + -9(2b + 4) = -6 Reorder the terms: (-8 + 19b) + -9(2b + 4) = -6 Remove parenthesis around (-8 + 19b) -8 + 19b + -9(2b + 4) = -6 Reorder the terms: -8 + 19b + -9(4 + 2b) = -6 -8 + 19b + (4 * -9 + 2b * -9) = -6 -8 + 19b + (-36 + -18b) = -6 Reorder the terms: -8 + -36 + 19b + -18b = -6 Combine like terms: -8 + -36 = -44 -44 + 19b + -18b = -6 Combine like terms: 19b + -18b = 1b -44 + 1b = -6 Solving -44 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 1b = -6 + 44 Combine like terms: -44 + 44 = 0 0 + 1b = -6 + 44 1b = -6 + 44 Combine like terms: -6 + 44 = 38 1b = 38 Divide each side by '1'. b = 38 Simplifying b = 38
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