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Simplifying -5(4a + -1) = 8a + -1(a + -5) Reorder the terms: -5(-1 + 4a) = 8a + -1(a + -5) (-1 * -5 + 4a * -5) = 8a + -1(a + -5) (5 + -20a) = 8a + -1(a + -5) Reorder the terms: 5 + -20a = 8a + -1(-5 + a) 5 + -20a = 8a + (-5 * -1 + a * -1) 5 + -20a = 8a + (5 + -1a) Reorder the terms: 5 + -20a = 5 + 8a + -1a Combine like terms: 8a + -1a = 7a 5 + -20a = 5 + 7a Add '-5' to each side of the equation. 5 + -5 + -20a = 5 + -5 + 7a Combine like terms: 5 + -5 = 0 0 + -20a = 5 + -5 + 7a -20a = 5 + -5 + 7a Combine like terms: 5 + -5 = 0 -20a = 0 + 7a -20a = 7a Solving -20a = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -20a + -7a = 7a + -7a Combine like terms: -20a + -7a = -27a -27a = 7a + -7a Combine like terms: 7a + -7a = 0 -27a = 0 Divide each side by '-27'. a = 0 Simplifying a = 0
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