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Simplifying 0.5a + a = 0.6a + a + 5 Combine like terms: 0.5a + a = 1.5a 1.5a = 0.6a + a + 5 Reorder the terms: 1.5a = 5 + 0.6a + a Combine like terms: 0.6a + a = 1.6a 1.5a = 5 + 1.6a Solving 1.5a = 5 + 1.6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.6a' to each side of the equation. 1.5a + -1.6a = 5 + 1.6a + -1.6a Combine like terms: 1.5a + -1.6a = -0.1a -0.1a = 5 + 1.6a + -1.6a Combine like terms: 1.6a + -1.6a = 0.0 -0.1a = 5 + 0.0 -0.1a = 5 Divide each side by '-0.1'. a = -50 Simplifying a = -50
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