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Simplifying -8(4b + 1) + (33b + -9) = 0 Reorder the terms: -8(1 + 4b) + (33b + -9) = 0 (1 * -8 + 4b * -8) + (33b + -9) = 0 (-8 + -32b) + (33b + -9) = 0 Reorder the terms: -8 + -32b + (-9 + 33b) = 0 Remove parenthesis around (-9 + 33b) -8 + -32b + -9 + 33b = 0 Reorder the terms: -8 + -9 + -32b + 33b = 0 Combine like terms: -8 + -9 = -17 -17 + -32b + 33b = 0 Combine like terms: -32b + 33b = 1b -17 + 1b = 0 Solving -17 + 1b = 0 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 = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1b = 0 + 17 1b = 0 + 17 Combine like terms: 0 + 17 = 17 1b = 17 Divide each side by '1'. b = 17 Simplifying b = 17
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