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Simplifying -5(3 + -1a) = 3(2 + -1a) (3 * -5 + -1a * -5) = 3(2 + -1a) (-15 + 5a) = 3(2 + -1a) -15 + 5a = (2 * 3 + -1a * 3) -15 + 5a = (6 + -3a) Solving -15 + 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. -15 + 5a + 3a = 6 + -3a + 3a Combine like terms: 5a + 3a = 8a -15 + 8a = 6 + -3a + 3a Combine like terms: -3a + 3a = 0 -15 + 8a = 6 + 0 -15 + 8a = 6 Add '15' to each side of the equation. -15 + 15 + 8a = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 8a = 6 + 15 8a = 6 + 15 Combine like terms: 6 + 15 = 21 8a = 21 Divide each side by '8'. a = 2.625 Simplifying a = 2.625
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