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Simplifying 0 = (0.09) + (1 + -2a + a)(0.16) 0 = 0.09 + (1 + -2a + a)(0.16) Combine like terms: -2a + a = -1a 0 = 0.09 + (1 + -1a)(0.16) Reorder the terms for easier multiplication: 0 = 0.09 + 0.16(1 + -1a) 0 = 0.09 + (1 * 0.16 + -1a * 0.16) 0 = 0.09 + (0.16 + -0.16a) Combine like terms: 0.09 + 0.16 = 0.25 0 = 0.25 + -0.16a Solving 0 = 0.25 + -0.16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.16a' to each side of the equation. 0 + 0.16a = 0.25 + -0.16a + 0.16a Remove the zero: 0.16a = 0.25 + -0.16a + 0.16a Combine like terms: -0.16a + 0.16a = 0.00 0.16a = 0.25 + 0.00 0.16a = 0.25 Divide each side by '0.16'. a = 1.5625 Simplifying a = 1.5625
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