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Simplifying 9(4b + -1) = 2(b + 4) Reorder the terms: 9(-1 + 4b) = 2(b + 4) (-1 * 9 + 4b * 9) = 2(b + 4) (-9 + 36b) = 2(b + 4) Reorder the terms: -9 + 36b = 2(4 + b) -9 + 36b = (4 * 2 + b * 2) -9 + 36b = (8 + 2b) Solving -9 + 36b = 8 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. -9 + 36b + -2b = 8 + 2b + -2b Combine like terms: 36b + -2b = 34b -9 + 34b = 8 + 2b + -2b Combine like terms: 2b + -2b = 0 -9 + 34b = 8 + 0 -9 + 34b = 8 Add '9' to each side of the equation. -9 + 9 + 34b = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 34b = 8 + 9 34b = 8 + 9 Combine like terms: 8 + 9 = 17 34b = 17 Divide each side by '34'. b = 0.5 Simplifying b = 0.5
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