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Simplifying 2.25b + -1(0.15b + 250) = 310(0.15 + -40) Reorder the terms: 2.25b + -1(250 + 0.15b) = 310(0.15 + -40) 2.25b + (250 * -1 + 0.15b * -1) = 310(0.15 + -40) 2.25b + (-250 + -0.15b) = 310(0.15 + -40) Reorder the terms: -250 + 2.25b + -0.15b = 310(0.15 + -40) Combine like terms: 2.25b + -0.15b = 2.1b -250 + 2.1b = 310(0.15 + -40) Combine like terms: 0.15 + -40 = -39.85 -250 + 2.1b = 310(-39.85) Multiply 310 * -39.85 -250 + 2.1b = -12353.5 Solving -250 + 2.1b = -12353.5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '250' to each side of the equation. -250 + 250 + 2.1b = -12353.5 + 250 Combine like terms: -250 + 250 = 0 0 + 2.1b = -12353.5 + 250 2.1b = -12353.5 + 250 Combine like terms: -12353.5 + 250 = -12103.5 2.1b = -12103.5 Divide each side by '2.1'. b = -5763.571429 Simplifying b = -5763.571429
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