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Simplifying -8(4b + 3) + (33b + -3) = 0 Reorder the terms: -8(3 + 4b) + (33b + -3) = 0 (3 * -8 + 4b * -8) + (33b + -3) = 0 (-24 + -32b) + (33b + -3) = 0 Reorder the terms: -24 + -32b + (-3 + 33b) = 0 Remove parenthesis around (-3 + 33b) -24 + -32b + -3 + 33b = 0 Reorder the terms: -24 + -3 + -32b + 33b = 0 Combine like terms: -24 + -3 = -27 -27 + -32b + 33b = 0 Combine like terms: -32b + 33b = 1b -27 + 1b = 0 Solving -27 + 1b = 0 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 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 1b = 0 + 27 1b = 0 + 27 Combine like terms: 0 + 27 = 27 1b = 27 Divide each side by '1'. b = 27 Simplifying b = 27
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