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Simplifying 0.09 + 0.11(100 + -1a) = 9.8 0.09 + (100 * 0.11 + -1a * 0.11) = 9.8 0.09 + (11 + -0.11a) = 9.8 Combine like terms: 0.09 + 11 = 11.09 11.09 + -0.11a = 9.8 Solving 11.09 + -0.11a = 9.8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11.09' to each side of the equation. 11.09 + -11.09 + -0.11a = 9.8 + -11.09 Combine like terms: 11.09 + -11.09 = 0.00 0.00 + -0.11a = 9.8 + -11.09 -0.11a = 9.8 + -11.09 Combine like terms: 9.8 + -11.09 = -1.29 -0.11a = -1.29 Divide each side by '-0.11'. a = 11.72727273 Simplifying a = 11.72727273
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