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Simplifying (19b + -3) + -9(2b + 3) = -3 Reorder the terms: (-3 + 19b) + -9(2b + 3) = -3 Remove parenthesis around (-3 + 19b) -3 + 19b + -9(2b + 3) = -3 Reorder the terms: -3 + 19b + -9(3 + 2b) = -3 -3 + 19b + (3 * -9 + 2b * -9) = -3 -3 + 19b + (-27 + -18b) = -3 Reorder the terms: -3 + -27 + 19b + -18b = -3 Combine like terms: -3 + -27 = -30 -30 + 19b + -18b = -3 Combine like terms: 19b + -18b = 1b -30 + 1b = -3 Solving -30 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1b = -3 + 30 Combine like terms: -30 + 30 = 0 0 + 1b = -3 + 30 1b = -3 + 30 Combine like terms: -3 + 30 = 27 1b = 27 Divide each side by '1'. b = 27 Simplifying b = 27
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