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Simplifying 5(2a + -1(3 + -1a)) = 5(a + 3) 5(2a + (3 * -1 + -1a * -1)) = 5(a + 3) 5(2a + (-3 + 1a)) = 5(a + 3) Reorder the terms: 5(-3 + 2a + 1a) = 5(a + 3) Combine like terms: 2a + 1a = 3a 5(-3 + 3a) = 5(a + 3) (-3 * 5 + 3a * 5) = 5(a + 3) (-15 + 15a) = 5(a + 3) Reorder the terms: -15 + 15a = 5(3 + a) -15 + 15a = (3 * 5 + a * 5) -15 + 15a = (15 + 5a) Solving -15 + 15a = 15 + 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. -15 + 15a + -5a = 15 + 5a + -5a Combine like terms: 15a + -5a = 10a -15 + 10a = 15 + 5a + -5a Combine like terms: 5a + -5a = 0 -15 + 10a = 15 + 0 -15 + 10a = 15 Add '15' to each side of the equation. -15 + 15 + 10a = 15 + 15 Combine like terms: -15 + 15 = 0 0 + 10a = 15 + 15 10a = 15 + 15 Combine like terms: 15 + 15 = 30 10a = 30 Divide each side by '10'. a = 3 Simplifying a = 3
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