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Simplifying 5(3a + 2) + -4(2a + 1) = 20 Reorder the terms: 5(2 + 3a) + -4(2a + 1) = 20 (2 * 5 + 3a * 5) + -4(2a + 1) = 20 (10 + 15a) + -4(2a + 1) = 20 Reorder the terms: 10 + 15a + -4(1 + 2a) = 20 10 + 15a + (1 * -4 + 2a * -4) = 20 10 + 15a + (-4 + -8a) = 20 Reorder the terms: 10 + -4 + 15a + -8a = 20 Combine like terms: 10 + -4 = 6 6 + 15a + -8a = 20 Combine like terms: 15a + -8a = 7a 6 + 7a = 20 Solving 6 + 7a = 20 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7a = 20 + -6 Combine like terms: 6 + -6 = 0 0 + 7a = 20 + -6 7a = 20 + -6 Combine like terms: 20 + -6 = 14 7a = 14 Divide each side by '7'. a = 2 Simplifying a = 2
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