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Simplifying 4(a + 4) = -8(-8 + a) Reorder the terms: 4(4 + a) = -8(-8 + a) (4 * 4 + a * 4) = -8(-8 + a) (16 + 4a) = -8(-8 + a) 16 + 4a = (-8 * -8 + a * -8) 16 + 4a = (64 + -8a) Solving 16 + 4a = 64 + -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 + 4a + 8a = 64 + -8a + 8a Combine like terms: 4a + 8a = 12a 16 + 12a = 64 + -8a + 8a Combine like terms: -8a + 8a = 0 16 + 12a = 64 + 0 16 + 12a = 64 Add '-16' to each side of the equation. 16 + -16 + 12a = 64 + -16 Combine like terms: 16 + -16 = 0 0 + 12a = 64 + -16 12a = 64 + -16 Combine like terms: 64 + -16 = 48 12a = 48 Divide each side by '12'. a = 4 Simplifying a = 4
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