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Simplifying 0.35a + -0.1a = 0.05(4a + 3) Combine like terms: 0.35a + -0.1a = 0.25a 0.25a = 0.05(4a + 3) Reorder the terms: 0.25a = 0.05(3 + 4a) 0.25a = (3 * 0.05 + 4a * 0.05) 0.25a = (0.15 + 0.2a) Solving 0.25a = 0.15 + 0.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.2a' to each side of the equation. 0.25a + -0.2a = 0.15 + 0.2a + -0.2a Combine like terms: 0.25a + -0.2a = 0.05a 0.05a = 0.15 + 0.2a + -0.2a Combine like terms: 0.2a + -0.2a = 0.0 0.05a = 0.15 + 0.0 0.05a = 0.15 Divide each side by '0.05'. a = 3 Simplifying a = 3
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