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Simplifying 0.5(2 + -1a) = 0.2(2a + -6) (2 * 0.5 + -1a * 0.5) = 0.2(2a + -6) (1 + -0.5a) = 0.2(2a + -6) Reorder the terms: 1 + -0.5a = 0.2(-6 + 2a) 1 + -0.5a = (-6 * 0.2 + 2a * 0.2) 1 + -0.5a = (-1.2 + 0.4a) Solving 1 + -0.5a = -1.2 + 0.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.4a' to each side of the equation. 1 + -0.5a + -0.4a = -1.2 + 0.4a + -0.4a Combine like terms: -0.5a + -0.4a = -0.9a 1 + -0.9a = -1.2 + 0.4a + -0.4a Combine like terms: 0.4a + -0.4a = 0.0 1 + -0.9a = -1.2 + 0.0 1 + -0.9a = -1.2 Add '-1' to each side of the equation. 1 + -1 + -0.9a = -1.2 + -1 Combine like terms: 1 + -1 = 0 0 + -0.9a = -1.2 + -1 -0.9a = -1.2 + -1 Combine like terms: -1.2 + -1 = -2.2 -0.9a = -2.2 Divide each side by '-0.9'. a = 2.444444444 Simplifying a = 2.444444444
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