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