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Simplifying (33b + -3) + -8(4b + 3) = -6 Reorder the terms: (-3 + 33b) + -8(4b + 3) = -6 Remove parenthesis around (-3 + 33b) -3 + 33b + -8(4b + 3) = -6 Reorder the terms: -3 + 33b + -8(3 + 4b) = -6 -3 + 33b + (3 * -8 + 4b * -8) = -6 -3 + 33b + (-24 + -32b) = -6 Reorder the terms: -3 + -24 + 33b + -32b = -6 Combine like terms: -3 + -24 = -27 -27 + 33b + -32b = -6 Combine like terms: 33b + -32b = 1b -27 + 1b = -6 Solving -27 + 1b = -6 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 = -6 + 27 Combine like terms: -27 + 27 = 0 0 + 1b = -6 + 27 1b = -6 + 27 Combine like terms: -6 + 27 = 21 1b = 21 Divide each side by '1'. b = 21 Simplifying b = 21
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