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Simplifying 2a + 1.5 = 0.5 + -1.5a Reorder the terms: 1.5 + 2a = 0.5 + -1.5a Solving 1.5 + 2a = 0.5 + -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. 1.5 + 2a + 1.5a = 0.5 + -1.5a + 1.5a Combine like terms: 2a + 1.5a = 3.5a 1.5 + 3.5a = 0.5 + -1.5a + 1.5a Combine like terms: -1.5a + 1.5a = 0.0 1.5 + 3.5a = 0.5 + 0.0 1.5 + 3.5a = 0.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 3.5a = 0.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 3.5a = 0.5 + -1.5 3.5a = 0.5 + -1.5 Combine like terms: 0.5 + -1.5 = -1 3.5a = -1 Divide each side by '3.5'. a = -0.2857142857 Simplifying a = -0.2857142857
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