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Simplifying 10(0.4 + 0.5a) = 4a (0.4 * 10 + 0.5a * 10) = 4a (4 + 5a) = 4a Solving 4 + 5a = 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. 4 + 5a + -4a = 4a + -4a Combine like terms: 5a + -4a = 1a 4 + 1a = 4a + -4a Combine like terms: 4a + -4a = 0 4 + 1a = 0 Add '-4' to each side of the equation. 4 + -4 + 1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1a = 0 + -4 1a = 0 + -4 Combine like terms: 0 + -4 = -4 1a = -4 Divide each side by '1'. a = -4 Simplifying a = -4
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