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Simplifying (33b + -1) + -8(4b + 2) = -5 Reorder the terms: (-1 + 33b) + -8(4b + 2) = -5 Remove parenthesis around (-1 + 33b) -1 + 33b + -8(4b + 2) = -5 Reorder the terms: -1 + 33b + -8(2 + 4b) = -5 -1 + 33b + (2 * -8 + 4b * -8) = -5 -1 + 33b + (-16 + -32b) = -5 Reorder the terms: -1 + -16 + 33b + -32b = -5 Combine like terms: -1 + -16 = -17 -17 + 33b + -32b = -5 Combine like terms: 33b + -32b = 1b -17 + 1b = -5 Solving -17 + 1b = -5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1b = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 1b = -5 + 17 1b = -5 + 17 Combine like terms: -5 + 17 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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