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Simplifying -216 = 8 + 8(4 + -8a) -216 = 8 + (4 * 8 + -8a * 8) -216 = 8 + (32 + -64a) Combine like terms: 8 + 32 = 40 -216 = 40 + -64a Solving -216 = 40 + -64a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '64a' to each side of the equation. -216 + 64a = 40 + -64a + 64a Combine like terms: -64a + 64a = 0 -216 + 64a = 40 + 0 -216 + 64a = 40 Add '216' to each side of the equation. -216 + 216 + 64a = 40 + 216 Combine like terms: -216 + 216 = 0 0 + 64a = 40 + 216 64a = 40 + 216 Combine like terms: 40 + 216 = 256 64a = 256 Divide each side by '64'. a = 4 Simplifying a = 4
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