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Simplifying 8(-1a + 8) = -24 + 3a Reorder the terms: 8(8 + -1a) = -24 + 3a (8 * 8 + -1a * 8) = -24 + 3a (64 + -8a) = -24 + 3a Solving 64 + -8a = -24 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 64 + -8a + -3a = -24 + 3a + -3a Combine like terms: -8a + -3a = -11a 64 + -11a = -24 + 3a + -3a Combine like terms: 3a + -3a = 0 64 + -11a = -24 + 0 64 + -11a = -24 Add '-64' to each side of the equation. 64 + -64 + -11a = -24 + -64 Combine like terms: 64 + -64 = 0 0 + -11a = -24 + -64 -11a = -24 + -64 Combine like terms: -24 + -64 = -88 -11a = -88 Divide each side by '-11'. a = 8 Simplifying a = 8
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