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Simplifying 0.2a + 0.4(35 + -1a) = 9 0.2a + (35 * 0.4 + -1a * 0.4) = 9 0.2a + (14 + -0.4a) = 9 Reorder the terms: 14 + 0.2a + -0.4a = 9 Combine like terms: 0.2a + -0.4a = -0.2a 14 + -0.2a = 9 Solving 14 + -0.2a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -0.2a = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -0.2a = 9 + -14 -0.2a = 9 + -14 Combine like terms: 9 + -14 = -5 -0.2a = -5 Divide each side by '-0.2'. a = 25 Simplifying a = 25
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