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Simplifying -4(-367b + 1) = 33.638 + -1.5b Reorder the terms: -4(1 + -367b) = 33.638 + -1.5b (1 * -4 + -367b * -4) = 33.638 + -1.5b (-4 + 1468b) = 33.638 + -1.5b Solving -4 + 1468b = 33.638 + -1.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1.5b' to each side of the equation. -4 + 1468b + 1.5b = 33.638 + -1.5b + 1.5b Combine like terms: 1468b + 1.5b = 1469.5b -4 + 1469.5b = 33.638 + -1.5b + 1.5b Combine like terms: -1.5b + 1.5b = 0.0 -4 + 1469.5b = 33.638 + 0.0 -4 + 1469.5b = 33.638 Add '4' to each side of the equation. -4 + 4 + 1469.5b = 33.638 + 4 Combine like terms: -4 + 4 = 0 0 + 1469.5b = 33.638 + 4 1469.5b = 33.638 + 4 Combine like terms: 33.638 + 4 = 37.638 1469.5b = 37.638 Divide each side by '1469.5'. b = 0.02561279347 Simplifying b = 0.02561279347
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