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Simplifying 2a + -1(a + -5) = 2(3 + -4a) Reorder the terms: 2a + -1(-5 + a) = 2(3 + -4a) 2a + (-5 * -1 + a * -1) = 2(3 + -4a) 2a + (5 + -1a) = 2(3 + -4a) Reorder the terms: 5 + 2a + -1a = 2(3 + -4a) Combine like terms: 2a + -1a = 1a 5 + 1a = 2(3 + -4a) 5 + 1a = (3 * 2 + -4a * 2) 5 + 1a = (6 + -8a) Solving 5 + 1a = 6 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 5 + 1a + 8a = 6 + -8a + 8a Combine like terms: 1a + 8a = 9a 5 + 9a = 6 + -8a + 8a Combine like terms: -8a + 8a = 0 5 + 9a = 6 + 0 5 + 9a = 6 Add '-5' to each side of the equation. 5 + -5 + 9a = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 9a = 6 + -5 9a = 6 + -5 Combine like terms: 6 + -5 = 1 9a = 1 Divide each side by '9'. a = 0.1111111111 Simplifying a = 0.1111111111
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