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Simplifying 0.5a + -6 = 0.2a Reorder the terms: -6 + 0.5a = 0.2a Solving -6 + 0.5a = 0.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.2a' to each side of the equation. -6 + 0.5a + -0.2a = 0.2a + -0.2a Combine like terms: 0.5a + -0.2a = 0.3a -6 + 0.3a = 0.2a + -0.2a Combine like terms: 0.2a + -0.2a = 0.0 -6 + 0.3a = 0.0 Add '6' to each side of the equation. -6 + 6 + 0.3a = 0.0 + 6 Combine like terms: -6 + 6 = 0 0 + 0.3a = 0.0 + 6 0.3a = 0.0 + 6 Combine like terms: 0.0 + 6 = 6 0.3a = 6 Divide each side by '0.3'. a = 20 Simplifying a = 20
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