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Simplifying (19b + -9) + -9(2b + 1) = -5 Reorder the terms: (-9 + 19b) + -9(2b + 1) = -5 Remove parenthesis around (-9 + 19b) -9 + 19b + -9(2b + 1) = -5 Reorder the terms: -9 + 19b + -9(1 + 2b) = -5 -9 + 19b + (1 * -9 + 2b * -9) = -5 -9 + 19b + (-9 + -18b) = -5 Reorder the terms: -9 + -9 + 19b + -18b = -5 Combine like terms: -9 + -9 = -18 -18 + 19b + -18b = -5 Combine like terms: 19b + -18b = 1b -18 + 1b = -5 Solving -18 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1b = -5 + 18 Combine like terms: -18 + 18 = 0 0 + 1b = -5 + 18 1b = -5 + 18 Combine like terms: -5 + 18 = 13 1b = 13 Divide each side by '1'. b = 13 Simplifying b = 13
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