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Simplifying 0.5 + a = 6.5 + -1a Solving 0.5 + a = 6.5 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 0.5 + a + a = 6.5 + -1a + a Combine like terms: a + a = 2a 0.5 + 2a = 6.5 + -1a + a Combine like terms: -1a + a = 0 0.5 + 2a = 6.5 + 0 0.5 + 2a = 6.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 2a = 6.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 2a = 6.5 + -0.5 2a = 6.5 + -0.5 Combine like terms: 6.5 + -0.5 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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