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Simplifying 200 + 0.05a = 75 + 0.1a Solving 200 + 0.05a = 75 + 0.1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.1a' to each side of the equation. 200 + 0.05a + -0.1a = 75 + 0.1a + -0.1a Combine like terms: 0.05a + -0.1a = -0.05a 200 + -0.05a = 75 + 0.1a + -0.1a Combine like terms: 0.1a + -0.1a = 0.0 200 + -0.05a = 75 + 0.0 200 + -0.05a = 75 Add '-200' to each side of the equation. 200 + -200 + -0.05a = 75 + -200 Combine like terms: 200 + -200 = 0 0 + -0.05a = 75 + -200 -0.05a = 75 + -200 Combine like terms: 75 + -200 = -125 -0.05a = -125 Divide each side by '-0.05'. a = 2500 Simplifying a = 2500
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