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Simplifying 2.25b + -1(40 + -0.15b) = 310(250 + -0.15b) 2.25b + (40 * -1 + -0.15b * -1) = 310(250 + -0.15b) 2.25b + (-40 + 0.15b) = 310(250 + -0.15b) Reorder the terms: -40 + 2.25b + 0.15b = 310(250 + -0.15b) Combine like terms: 2.25b + 0.15b = 2.4b -40 + 2.4b = 310(250 + -0.15b) -40 + 2.4b = (250 * 310 + -0.15b * 310) -40 + 2.4b = (77500 + -46.5b) Solving -40 + 2.4b = 77500 + -46.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '46.5b' to each side of the equation. -40 + 2.4b + 46.5b = 77500 + -46.5b + 46.5b Combine like terms: 2.4b + 46.5b = 48.9b -40 + 48.9b = 77500 + -46.5b + 46.5b Combine like terms: -46.5b + 46.5b = 0.0 -40 + 48.9b = 77500 + 0.0 -40 + 48.9b = 77500 Add '40' to each side of the equation. -40 + 40 + 48.9b = 77500 + 40 Combine like terms: -40 + 40 = 0 0 + 48.9b = 77500 + 40 48.9b = 77500 + 40 Combine like terms: 77500 + 40 = 77540 48.9b = 77540 Divide each side by '48.9'. b = 1585.685072 Simplifying b = 1585.685072
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