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Simplifying 4a + -1(5 + -1a) = 3(a + 2) 4a + (5 * -1 + -1a * -1) = 3(a + 2) 4a + (-5 + 1a) = 3(a + 2) Reorder the terms: -5 + 4a + 1a = 3(a + 2) Combine like terms: 4a + 1a = 5a -5 + 5a = 3(a + 2) Reorder the terms: -5 + 5a = 3(2 + a) -5 + 5a = (2 * 3 + a * 3) -5 + 5a = (6 + 3a) Solving -5 + 5a = 6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -5 + 5a + -3a = 6 + 3a + -3a Combine like terms: 5a + -3a = 2a -5 + 2a = 6 + 3a + -3a Combine like terms: 3a + -3a = 0 -5 + 2a = 6 + 0 -5 + 2a = 6 Add '5' to each side of the equation. -5 + 5 + 2a = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 2a = 6 + 5 2a = 6 + 5 Combine like terms: 6 + 5 = 11 2a = 11 Divide each side by '2'. a = 5.5 Simplifying a = 5.5
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