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Simplifying 0.5(10 + -2a) = 4a + -10 (10 * 0.5 + -2a * 0.5) = 4a + -10 (5 + -1a) = 4a + -10 Reorder the terms: 5 + -1a = -10 + 4a Solving 5 + -1a = -10 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 5 + -1a + -4a = -10 + 4a + -4a Combine like terms: -1a + -4a = -5a 5 + -5a = -10 + 4a + -4a Combine like terms: 4a + -4a = 0 5 + -5a = -10 + 0 5 + -5a = -10 Add '-5' to each side of the equation. 5 + -5 + -5a = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -5a = -10 + -5 -5a = -10 + -5 Combine like terms: -10 + -5 = -15 -5a = -15 Divide each side by '-5'. a = 3 Simplifying a = 3
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