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Simplifying 0.5(8a + -20) = 2(a + 6) Reorder the terms: 0.5(-20 + 8a) = 2(a + 6) (-20 * 0.5 + 8a * 0.5) = 2(a + 6) (-10 + 4a) = 2(a + 6) Reorder the terms: -10 + 4a = 2(6 + a) -10 + 4a = (6 * 2 + a * 2) -10 + 4a = (12 + 2a) Solving -10 + 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. -10 + 4a + -2a = 12 + 2a + -2a Combine like terms: 4a + -2a = 2a -10 + 2a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 -10 + 2a = 12 + 0 -10 + 2a = 12 Add '10' to each side of the equation. -10 + 10 + 2a = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 2a = 12 + 10 2a = 12 + 10 Combine like terms: 12 + 10 = 22 2a = 22 Divide each side by '2'. a = 11 Simplifying a = 11
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