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Simplifying (0.2(1500 + -1b)) = (0.17b) ((1500 * 0.2 + -1b * 0.2)) = (0.17b) ((300 + -0.2b)) = (0.17b) (300 + -0.2b) = (0.17b) Remove parenthesis around (300 + -0.2b) 300 + -0.2b = (0.17b) Solving 300 + -0.2b = (0.17b) Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '(-0.17b)' to each side of the equation. 300 + -0.2b + (-0.17b) = (0.17b) + (-0.17b) Combine like terms: -0.2b + (-0.17b) = -0.37b 300 + -0.37b = (0.17b) + (-0.17b) Combine like terms: (0.17b) + (-0.17b) = 0.00 300 + -0.37b = 0.00 Add '-300' to each side of the equation. 300 + -300 + -0.37b = 0.00 + -300 Combine like terms: 300 + -300 = 0 0 + -0.37b = 0.00 + -300 -0.37b = 0.00 + -300 Combine like terms: 0.00 + -300 = -300 -0.37b = -300 Divide each side by '-0.37'. b = 810.8108108 Simplifying b = 810.8108108
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