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Simplifying 0.5(8a) = 2(a + 6) Remove parenthesis around (8a) 0.5 * 8a = 2(a + 6) Multiply 0.5 * 8 4a = 2(a + 6) Reorder the terms: 4a = 2(6 + a) 4a = (6 * 2 + a * 2) 4a = (12 + 2a) Solving 4a = 12 + 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. 4a + -2a = 12 + 2a + -2a Combine like terms: 4a + -2a = 2a 2a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 2a = 12 + 0 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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