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Simplifying 0.06(a + 2.00) + 0.1a = 172 Reorder the terms: 0.06(2.00 + a) + 0.1a = 172 (2.00 * 0.06 + a * 0.06) + 0.1a = 172 (0.12 + 0.06a) + 0.1a = 172 Combine like terms: 0.06a + 0.1a = 0.16a 0.12 + 0.16a = 172 Solving 0.12 + 0.16a = 172 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.12' to each side of the equation. 0.12 + -0.12 + 0.16a = 172 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.16a = 172 + -0.12 0.16a = 172 + -0.12 Combine like terms: 172 + -0.12 = 171.88 0.16a = 171.88 Divide each side by '0.16'. a = 1074.25 Simplifying a = 1074.25
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