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Simplifying 0.15a + -0.05a + 0.01 = 0.2a Reorder the terms: 0.01 + 0.15a + -0.05a = 0.2a Combine like terms: 0.15a + -0.05a = 0.1a 0.01 + 0.1a = 0.2a Solving 0.01 + 0.1a = 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. 0.01 + 0.1a + -0.2a = 0.2a + -0.2a Combine like terms: 0.1a + -0.2a = -0.1a 0.01 + -0.1a = 0.2a + -0.2a Combine like terms: 0.2a + -0.2a = 0.0 0.01 + -0.1a = 0.0 Add '-0.01' to each side of the equation. 0.01 + -0.01 + -0.1a = 0.0 + -0.01 Combine like terms: 0.01 + -0.01 = 0.00 0.00 + -0.1a = 0.0 + -0.01 -0.1a = 0.0 + -0.01 Combine like terms: 0.0 + -0.01 = -0.01 -0.1a = -0.01 Divide each side by '-0.1'. a = 0.1 Simplifying a = 0.1
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