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Simplifying (19b + -8) + -9(2b + 1) = -4 Reorder the terms: (-8 + 19b) + -9(2b + 1) = -4 Remove parenthesis around (-8 + 19b) -8 + 19b + -9(2b + 1) = -4 Reorder the terms: -8 + 19b + -9(1 + 2b) = -4 -8 + 19b + (1 * -9 + 2b * -9) = -4 -8 + 19b + (-9 + -18b) = -4 Reorder the terms: -8 + -9 + 19b + -18b = -4 Combine like terms: -8 + -9 = -17 -17 + 19b + -18b = -4 Combine like terms: 19b + -18b = 1b -17 + 1b = -4 Solving -17 + 1b = -4 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 = -4 + 17 Combine like terms: -17 + 17 = 0 0 + 1b = -4 + 17 1b = -4 + 17 Combine like terms: -4 + 17 = 13 1b = 13 Divide each side by '1'. b = 13 Simplifying b = 13
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