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Simplifying 5a + -4(2a + -5) = 3(2a + 1) Reorder the terms: 5a + -4(-5 + 2a) = 3(2a + 1) 5a + (-5 * -4 + 2a * -4) = 3(2a + 1) 5a + (20 + -8a) = 3(2a + 1) Reorder the terms: 20 + 5a + -8a = 3(2a + 1) Combine like terms: 5a + -8a = -3a 20 + -3a = 3(2a + 1) Reorder the terms: 20 + -3a = 3(1 + 2a) 20 + -3a = (1 * 3 + 2a * 3) 20 + -3a = (3 + 6a) Solving 20 + -3a = 3 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 20 + -3a + -6a = 3 + 6a + -6a Combine like terms: -3a + -6a = -9a 20 + -9a = 3 + 6a + -6a Combine like terms: 6a + -6a = 0 20 + -9a = 3 + 0 20 + -9a = 3 Add '-20' to each side of the equation. 20 + -20 + -9a = 3 + -20 Combine like terms: 20 + -20 = 0 0 + -9a = 3 + -20 -9a = 3 + -20 Combine like terms: 3 + -20 = -17 -9a = -17 Divide each side by '-9'. a = 1.888888889 Simplifying a = 1.888888889
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