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Simplifying 486 + 0.03a = 490 + 0.02a Solving 486 + 0.03a = 490 + 0.02a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.02a' to each side of the equation. 486 + 0.03a + -0.02a = 490 + 0.02a + -0.02a Combine like terms: 0.03a + -0.02a = 0.01a 486 + 0.01a = 490 + 0.02a + -0.02a Combine like terms: 0.02a + -0.02a = 0.00 486 + 0.01a = 490 + 0.00 486 + 0.01a = 490 Add '-486' to each side of the equation. 486 + -486 + 0.01a = 490 + -486 Combine like terms: 486 + -486 = 0 0 + 0.01a = 490 + -486 0.01a = 490 + -486 Combine like terms: 490 + -486 = 4 0.01a = 4 Divide each side by '0.01'. a = 400 Simplifying a = 400
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