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Simplifying -1(2a + -8) = -5(5 + a) Reorder the terms: -1(-8 + 2a) = -5(5 + a) (-8 * -1 + 2a * -1) = -5(5 + a) (8 + -2a) = -5(5 + a) 8 + -2a = (5 * -5 + a * -5) 8 + -2a = (-25 + -5a) Solving 8 + -2a = -25 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 8 + -2a + 5a = -25 + -5a + 5a Combine like terms: -2a + 5a = 3a 8 + 3a = -25 + -5a + 5a Combine like terms: -5a + 5a = 0 8 + 3a = -25 + 0 8 + 3a = -25 Add '-8' to each side of the equation. 8 + -8 + 3a = -25 + -8 Combine like terms: 8 + -8 = 0 0 + 3a = -25 + -8 3a = -25 + -8 Combine like terms: -25 + -8 = -33 3a = -33 Divide each side by '3'. a = -11 Simplifying a = -11
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