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Simplifying -1(-1a + 3) = 5(3 + -1a) + 2 Reorder the terms: -1(3 + -1a) = 5(3 + -1a) + 2 (3 * -1 + -1a * -1) = 5(3 + -1a) + 2 (-3 + 1a) = 5(3 + -1a) + 2 -3 + 1a = (3 * 5 + -1a * 5) + 2 -3 + 1a = (15 + -5a) + 2 Reorder the terms: -3 + 1a = 15 + 2 + -5a Combine like terms: 15 + 2 = 17 -3 + 1a = 17 + -5a Solving -3 + 1a = 17 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -3 + 1a + 5a = 17 + -5a + 5a Combine like terms: 1a + 5a = 6a -3 + 6a = 17 + -5a + 5a Combine like terms: -5a + 5a = 0 -3 + 6a = 17 + 0 -3 + 6a = 17 Add '3' to each side of the equation. -3 + 3 + 6a = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 6a = 17 + 3 6a = 17 + 3 Combine like terms: 17 + 3 = 20 6a = 20 Divide each side by '6'. a = 3.333333333 Simplifying a = 3.333333333
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