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Simplifying (0.2(1466 + -1b)) = (0.17b) ((1466 * 0.2 + -1b * 0.2)) = (0.17b) ((293.2 + -0.2b)) = (0.17b) (293.2 + -0.2b) = (0.17b) Remove parenthesis around (293.2 + -0.2b) 293.2 + -0.2b = (0.17b) Solving 293.2 + -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. 293.2 + -0.2b + (-0.17b) = (0.17b) + (-0.17b) Combine like terms: -0.2b + (-0.17b) = -0.37b 293.2 + -0.37b = (0.17b) + (-0.17b) Combine like terms: (0.17b) + (-0.17b) = 0.00 293.2 + -0.37b = 0.00 Add '-293.2' to each side of the equation. 293.2 + -293.2 + -0.37b = 0.00 + -293.2 Combine like terms: 293.2 + -293.2 = 0.0 0.0 + -0.37b = 0.00 + -293.2 -0.37b = 0.00 + -293.2 Combine like terms: 0.00 + -293.2 = -293.2 -0.37b = -293.2 Divide each side by '-0.37'. b = 792.4324324 Simplifying b = 792.4324324
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