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Simplifying 4(a + -5) + 4a = 2(3a + 5) Reorder the terms: 4(-5 + a) + 4a = 2(3a + 5) (-5 * 4 + a * 4) + 4a = 2(3a + 5) (-20 + 4a) + 4a = 2(3a + 5) Combine like terms: 4a + 4a = 8a -20 + 8a = 2(3a + 5) Reorder the terms: -20 + 8a = 2(5 + 3a) -20 + 8a = (5 * 2 + 3a * 2) -20 + 8a = (10 + 6a) Solving -20 + 8a = 10 + 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 + 8a + -6a = 10 + 6a + -6a Combine like terms: 8a + -6a = 2a -20 + 2a = 10 + 6a + -6a Combine like terms: 6a + -6a = 0 -20 + 2a = 10 + 0 -20 + 2a = 10 Add '20' to each side of the equation. -20 + 20 + 2a = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 2a = 10 + 20 2a = 10 + 20 Combine like terms: 10 + 20 = 30 2a = 30 Divide each side by '2'. a = 15 Simplifying a = 15
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