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Simplifying -0.5(-2 + 2a) = -4 + -2a (-2 * -0.5 + 2a * -0.5) = -4 + -2a (1 + -1a) = -4 + -2a Solving 1 + -1a = -4 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 1 + -1a + 2a = -4 + -2a + 2a Combine like terms: -1a + 2a = 1a 1 + 1a = -4 + -2a + 2a Combine like terms: -2a + 2a = 0 1 + 1a = -4 + 0 1 + 1a = -4 Add '-1' to each side of the equation. 1 + -1 + 1a = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 1a = -4 + -1 1a = -4 + -1 Combine like terms: -4 + -1 = -5 1a = -5 Divide each side by '1'. a = -5 Simplifying a = -5
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