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Simplifying 8a + -5(4 + -7a) = -3a + -20 8a + (4 * -5 + -7a * -5) = -3a + -20 8a + (-20 + 35a) = -3a + -20 Reorder the terms: -20 + 8a + 35a = -3a + -20 Combine like terms: 8a + 35a = 43a -20 + 43a = -3a + -20 Reorder the terms: -20 + 43a = -20 + -3a Add '20' to each side of the equation. -20 + 20 + 43a = -20 + 20 + -3a Combine like terms: -20 + 20 = 0 0 + 43a = -20 + 20 + -3a 43a = -20 + 20 + -3a Combine like terms: -20 + 20 = 0 43a = 0 + -3a 43a = -3a Solving 43a = -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 43a + 3a = -3a + 3a Combine like terms: 43a + 3a = 46a 46a = -3a + 3a Combine like terms: -3a + 3a = 0 46a = 0 Divide each side by '46'. a = 0 Simplifying a = 0
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