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Simplifying 20 = 0.8(200 + -1a) 20 = (200 * 0.8 + -1a * 0.8) 20 = (160 + -0.8a) Solving 20 = 160 + -0.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.8a' to each side of the equation. 20 + 0.8a = 160 + -0.8a + 0.8a Combine like terms: -0.8a + 0.8a = 0.0 20 + 0.8a = 160 + 0.0 20 + 0.8a = 160 Add '-20' to each side of the equation. 20 + -20 + 0.8a = 160 + -20 Combine like terms: 20 + -20 = 0 0 + 0.8a = 160 + -20 0.8a = 160 + -20 Combine like terms: 160 + -20 = 140 0.8a = 140 Divide each side by '0.8'. a = 175 Simplifying a = 175
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