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Simplifying (33b + -5) + -8(4b + 3) = -6 Reorder the terms: (-5 + 33b) + -8(4b + 3) = -6 Remove parenthesis around (-5 + 33b) -5 + 33b + -8(4b + 3) = -6 Reorder the terms: -5 + 33b + -8(3 + 4b) = -6 -5 + 33b + (3 * -8 + 4b * -8) = -6 -5 + 33b + (-24 + -32b) = -6 Reorder the terms: -5 + -24 + 33b + -32b = -6 Combine like terms: -5 + -24 = -29 -29 + 33b + -32b = -6 Combine like terms: 33b + -32b = 1b -29 + 1b = -6 Solving -29 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 1b = -6 + 29 Combine like terms: -29 + 29 = 0 0 + 1b = -6 + 29 1b = -6 + 29 Combine like terms: -6 + 29 = 23 1b = 23 Divide each side by '1'. b = 23 Simplifying b = 23
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