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Simplifying 4(9b + 2) = 33b + 17 Reorder the terms: 4(2 + 9b) = 33b + 17 (2 * 4 + 9b * 4) = 33b + 17 (8 + 36b) = 33b + 17 Reorder the terms: 8 + 36b = 17 + 33b Solving 8 + 36b = 17 + 33b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-33b' to each side of the equation. 8 + 36b + -33b = 17 + 33b + -33b Combine like terms: 36b + -33b = 3b 8 + 3b = 17 + 33b + -33b Combine like terms: 33b + -33b = 0 8 + 3b = 17 + 0 8 + 3b = 17 Add '-8' to each side of the equation. 8 + -8 + 3b = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 3b = 17 + -8 3b = 17 + -8 Combine like terms: 17 + -8 = 9 3b = 9 Divide each side by '3'. b = 3 Simplifying b = 3
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