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Simplifying 0.14a + 0.06(36 + -1a) = 0.12(36) 0.14a + (36 * 0.06 + -1a * 0.06) = 0.12(36) 0.14a + (2.16 + -0.06a) = 0.12(36) Reorder the terms: 2.16 + 0.14a + -0.06a = 0.12(36) Combine like terms: 0.14a + -0.06a = 0.08a 2.16 + 0.08a = 0.12(36) Multiply 0.12 * 36 2.16 + 0.08a = 4.32 Solving 2.16 + 0.08a = 4.32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.16' to each side of the equation. 2.16 + -2.16 + 0.08a = 4.32 + -2.16 Combine like terms: 2.16 + -2.16 = 0.00 0.00 + 0.08a = 4.32 + -2.16 0.08a = 4.32 + -2.16 Combine like terms: 4.32 + -2.16 = 2.16 0.08a = 2.16 Divide each side by '0.08'. a = 27 Simplifying a = 27
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