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Simplifying 0.5a + -1 = 2 + 0.6a Reorder the terms: -1 + 0.5a = 2 + 0.6a Solving -1 + 0.5a = 2 + 0.6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.6a' to each side of the equation. -1 + 0.5a + -0.6a = 2 + 0.6a + -0.6a Combine like terms: 0.5a + -0.6a = -0.1a -1 + -0.1a = 2 + 0.6a + -0.6a Combine like terms: 0.6a + -0.6a = 0.0 -1 + -0.1a = 2 + 0.0 -1 + -0.1a = 2 Add '1' to each side of the equation. -1 + 1 + -0.1a = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -0.1a = 2 + 1 -0.1a = 2 + 1 Combine like terms: 2 + 1 = 3 -0.1a = 3 Divide each side by '-0.1'. a = -30 Simplifying a = -30
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