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Simplifying (33b + -5) + -8(4b + 4) = -6 Reorder the terms: (-5 + 33b) + -8(4b + 4) = -6 Remove parenthesis around (-5 + 33b) -5 + 33b + -8(4b + 4) = -6 Reorder the terms: -5 + 33b + -8(4 + 4b) = -6 -5 + 33b + (4 * -8 + 4b * -8) = -6 -5 + 33b + (-32 + -32b) = -6 Reorder the terms: -5 + -32 + 33b + -32b = -6 Combine like terms: -5 + -32 = -37 -37 + 33b + -32b = -6 Combine like terms: 33b + -32b = 1b -37 + 1b = -6 Solving -37 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 1b = -6 + 37 Combine like terms: -37 + 37 = 0 0 + 1b = -6 + 37 1b = -6 + 37 Combine like terms: -6 + 37 = 31 1b = 31 Divide each side by '1'. b = 31 Simplifying b = 31
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