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Simplifying 27 = 0.9(200 + -1a) 27 = (200 * 0.9 + -1a * 0.9) 27 = (180 + -0.9a) Solving 27 = 180 + -0.9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.9a' to each side of the equation. 27 + 0.9a = 180 + -0.9a + 0.9a Combine like terms: -0.9a + 0.9a = 0.0 27 + 0.9a = 180 + 0.0 27 + 0.9a = 180 Add '-27' to each side of the equation. 27 + -27 + 0.9a = 180 + -27 Combine like terms: 27 + -27 = 0 0 + 0.9a = 180 + -27 0.9a = 180 + -27 Combine like terms: 180 + -27 = 153 0.9a = 153 Divide each side by '0.9'. a = 170 Simplifying a = 170
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