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Simplifying -4(2a + -5) + -4 = 4(8 + 2a) Reorder the terms: -4(-5 + 2a) + -4 = 4(8 + 2a) (-5 * -4 + 2a * -4) + -4 = 4(8 + 2a) (20 + -8a) + -4 = 4(8 + 2a) Reorder the terms: 20 + -4 + -8a = 4(8 + 2a) Combine like terms: 20 + -4 = 16 16 + -8a = 4(8 + 2a) 16 + -8a = (8 * 4 + 2a * 4) 16 + -8a = (32 + 8a) Solving 16 + -8a = 32 + 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. 16 + -8a + -8a = 32 + 8a + -8a Combine like terms: -8a + -8a = -16a 16 + -16a = 32 + 8a + -8a Combine like terms: 8a + -8a = 0 16 + -16a = 32 + 0 16 + -16a = 32 Add '-16' to each side of the equation. 16 + -16 + -16a = 32 + -16 Combine like terms: 16 + -16 = 0 0 + -16a = 32 + -16 -16a = 32 + -16 Combine like terms: 32 + -16 = 16 -16a = 16 Divide each side by '-16'. a = -1 Simplifying a = -1
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