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Simplifying 0.06(a + 200) + 0.1a = 172 Reorder the terms: 0.06(200 + a) + 0.1a = 172 (200 * 0.06 + a * 0.06) + 0.1a = 172 (12 + 0.06a) + 0.1a = 172 Combine like terms: 0.06a + 0.1a = 0.16a 12 + 0.16a = 172 Solving 12 + 0.16a = 172 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 0.16a = 172 + -12 Combine like terms: 12 + -12 = 0 0 + 0.16a = 172 + -12 0.16a = 172 + -12 Combine like terms: 172 + -12 = 160 0.16a = 160 Divide each side by '0.16'. a = 1000 Simplifying a = 1000
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