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Simplifying 8(8 + -1a) = -2(a + -5) (8 * 8 + -1a * 8) = -2(a + -5) (64 + -8a) = -2(a + -5) Reorder the terms: 64 + -8a = -2(-5 + a) 64 + -8a = (-5 * -2 + a * -2) 64 + -8a = (10 + -2a) Solving 64 + -8a = 10 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 64 + -8a + 2a = 10 + -2a + 2a Combine like terms: -8a + 2a = -6a 64 + -6a = 10 + -2a + 2a Combine like terms: -2a + 2a = 0 64 + -6a = 10 + 0 64 + -6a = 10 Add '-64' to each side of the equation. 64 + -64 + -6a = 10 + -64 Combine like terms: 64 + -64 = 0 0 + -6a = 10 + -64 -6a = 10 + -64 Combine like terms: 10 + -64 = -54 -6a = -54 Divide each side by '-6'. a = 9 Simplifying a = 9
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