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Simplifying -4(a + -1) = 8(a + 2) Reorder the terms: -4(-1 + a) = 8(a + 2) (-1 * -4 + a * -4) = 8(a + 2) (4 + -4a) = 8(a + 2) Reorder the terms: 4 + -4a = 8(2 + a) 4 + -4a = (2 * 8 + a * 8) 4 + -4a = (16 + 8a) Solving 4 + -4a = 16 + 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. 4 + -4a + -8a = 16 + 8a + -8a Combine like terms: -4a + -8a = -12a 4 + -12a = 16 + 8a + -8a Combine like terms: 8a + -8a = 0 4 + -12a = 16 + 0 4 + -12a = 16 Add '-4' to each side of the equation. 4 + -4 + -12a = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -12a = 16 + -4 -12a = 16 + -4 Combine like terms: 16 + -4 = 12 -12a = 12 Divide each side by '-12'. a = -1 Simplifying a = -1
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