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Simplifying 0.5(4 + -2a) = a + -1.8 (4 * 0.5 + -2a * 0.5) = a + -1.8 (2 + -1a) = a + -1.8 Reorder the terms: 2 + -1a = -1.8 + a Solving 2 + -1a = -1.8 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 2 + -1a + -1a = -1.8 + a + -1a Combine like terms: -1a + -1a = -2a 2 + -2a = -1.8 + a + -1a Combine like terms: a + -1a = 0 2 + -2a = -1.8 + 0 2 + -2a = -1.8 Add '-2' to each side of the equation. 2 + -2 + -2a = -1.8 + -2 Combine like terms: 2 + -2 = 0 0 + -2a = -1.8 + -2 -2a = -1.8 + -2 Combine like terms: -1.8 + -2 = -3.8 -2a = -3.8 Divide each side by '-2'. a = 1.9 Simplifying a = 1.9
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