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Simplifying 2(a + -5) = 2(5 + 4a) + -8a Reorder the terms: 2(-5 + a) = 2(5 + 4a) + -8a (-5 * 2 + a * 2) = 2(5 + 4a) + -8a (-10 + 2a) = 2(5 + 4a) + -8a -10 + 2a = (5 * 2 + 4a * 2) + -8a -10 + 2a = (10 + 8a) + -8a Combine like terms: 8a + -8a = 0 -10 + 2a = 10 + 0 -10 + 2a = 10 Solving -10 + 2a = 10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2a = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 2a = 10 + 10 2a = 10 + 10 Combine like terms: 10 + 10 = 20 2a = 20 Divide each side by '2'. a = 10 Simplifying a = 10
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