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Simplifying a + a + 5 = 0.5a + a Reorder the terms: 5 + a + a = 0.5a + a Combine like terms: a + a = 2a 5 + 2a = 0.5a + a Combine like terms: 0.5a + a = 1.5a 5 + 2a = 1.5a Solving 5 + 2a = 1.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.5a' to each side of the equation. 5 + 2a + -1.5a = 1.5a + -1.5a Combine like terms: 2a + -1.5a = 0.5a 5 + 0.5a = 1.5a + -1.5a Combine like terms: 1.5a + -1.5a = 0.0 5 + 0.5a = 0.0 Add '-5' to each side of the equation. 5 + -5 + 0.5a = 0.0 + -5 Combine like terms: 5 + -5 = 0 0 + 0.5a = 0.0 + -5 0.5a = 0.0 + -5 Combine like terms: 0.0 + -5 = -5 0.5a = -5 Divide each side by '0.5'. a = -10 Simplifying a = -10
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