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Simplifying -3(-1a + 3) = 5(3 + -1a) + 2 Reorder the terms: -3(3 + -1a) = 5(3 + -1a) + 2 (3 * -3 + -1a * -3) = 5(3 + -1a) + 2 (-9 + 3a) = 5(3 + -1a) + 2 -9 + 3a = (3 * 5 + -1a * 5) + 2 -9 + 3a = (15 + -5a) + 2 Reorder the terms: -9 + 3a = 15 + 2 + -5a Combine like terms: 15 + 2 = 17 -9 + 3a = 17 + -5a Solving -9 + 3a = 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. -9 + 3a + 5a = 17 + -5a + 5a Combine like terms: 3a + 5a = 8a -9 + 8a = 17 + -5a + 5a Combine like terms: -5a + 5a = 0 -9 + 8a = 17 + 0 -9 + 8a = 17 Add '9' to each side of the equation. -9 + 9 + 8a = 17 + 9 Combine like terms: -9 + 9 = 0 0 + 8a = 17 + 9 8a = 17 + 9 Combine like terms: 17 + 9 = 26 8a = 26 Divide each side by '8'. a = 3.25 Simplifying a = 3.25
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