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Simplifying (19b + -2) + -9(2b + 1) = -3 Reorder the terms: (-2 + 19b) + -9(2b + 1) = -3 Remove parenthesis around (-2 + 19b) -2 + 19b + -9(2b + 1) = -3 Reorder the terms: -2 + 19b + -9(1 + 2b) = -3 -2 + 19b + (1 * -9 + 2b * -9) = -3 -2 + 19b + (-9 + -18b) = -3 Reorder the terms: -2 + -9 + 19b + -18b = -3 Combine like terms: -2 + -9 = -11 -11 + 19b + -18b = -3 Combine like terms: 19b + -18b = 1b -11 + 1b = -3 Solving -11 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1b = -3 + 11 Combine like terms: -11 + 11 = 0 0 + 1b = -3 + 11 1b = -3 + 11 Combine like terms: -3 + 11 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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