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Simplifying 4(5a + 3) + -5(2a + -1) = 27 Reorder the terms: 4(3 + 5a) + -5(2a + -1) = 27 (3 * 4 + 5a * 4) + -5(2a + -1) = 27 (12 + 20a) + -5(2a + -1) = 27 Reorder the terms: 12 + 20a + -5(-1 + 2a) = 27 12 + 20a + (-1 * -5 + 2a * -5) = 27 12 + 20a + (5 + -10a) = 27 Reorder the terms: 12 + 5 + 20a + -10a = 27 Combine like terms: 12 + 5 = 17 17 + 20a + -10a = 27 Combine like terms: 20a + -10a = 10a 17 + 10a = 27 Solving 17 + 10a = 27 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 10a = 27 + -17 Combine like terms: 17 + -17 = 0 0 + 10a = 27 + -17 10a = 27 + -17 Combine like terms: 27 + -17 = 10 10a = 10 Divide each side by '10'. a = 1 Simplifying a = 1
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