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Simplifying 13 + -3(-1a + 3) = 5(3 + -1a) + 2 Reorder the terms: 13 + -3(3 + -1a) = 5(3 + -1a) + 2 13 + (3 * -3 + -1a * -3) = 5(3 + -1a) + 2 13 + (-9 + 3a) = 5(3 + -1a) + 2 Combine like terms: 13 + -9 = 4 4 + 3a = 5(3 + -1a) + 2 4 + 3a = (3 * 5 + -1a * 5) + 2 4 + 3a = (15 + -5a) + 2 Reorder the terms: 4 + 3a = 15 + 2 + -5a Combine like terms: 15 + 2 = 17 4 + 3a = 17 + -5a Solving 4 + 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. 4 + 3a + 5a = 17 + -5a + 5a Combine like terms: 3a + 5a = 8a 4 + 8a = 17 + -5a + 5a Combine like terms: -5a + 5a = 0 4 + 8a = 17 + 0 4 + 8a = 17 Add '-4' to each side of the equation. 4 + -4 + 8a = 17 + -4 Combine like terms: 4 + -4 = 0 0 + 8a = 17 + -4 8a = 17 + -4 Combine like terms: 17 + -4 = 13 8a = 13 Divide each side by '8'. a = 1.625 Simplifying a = 1.625
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