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Simplifying (19b + -3) + -6(3b + 4) = -3 Reorder the terms: (-3 + 19b) + -6(3b + 4) = -3 Remove parenthesis around (-3 + 19b) -3 + 19b + -6(3b + 4) = -3 Reorder the terms: -3 + 19b + -6(4 + 3b) = -3 -3 + 19b + (4 * -6 + 3b * -6) = -3 -3 + 19b + (-24 + -18b) = -3 Reorder the terms: -3 + -24 + 19b + -18b = -3 Combine like terms: -3 + -24 = -27 -27 + 19b + -18b = -3 Combine like terms: 19b + -18b = 1b -27 + 1b = -3 Solving -27 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 1b = -3 + 27 Combine like terms: -27 + 27 = 0 0 + 1b = -3 + 27 1b = -3 + 27 Combine like terms: -3 + 27 = 24 1b = 24 Divide each side by '1'. b = 24 Simplifying b = 24
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