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Simplifying 17(1 + -1a) + -26(a + -8) = 268 (1 * 17 + -1a * 17) + -26(a + -8) = 268 (17 + -17a) + -26(a + -8) = 268 Reorder the terms: 17 + -17a + -26(-8 + a) = 268 17 + -17a + (-8 * -26 + a * -26) = 268 17 + -17a + (208 + -26a) = 268 Reorder the terms: 17 + 208 + -17a + -26a = 268 Combine like terms: 17 + 208 = 225 225 + -17a + -26a = 268 Combine like terms: -17a + -26a = -43a 225 + -43a = 268 Solving 225 + -43a = 268 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-225' to each side of the equation. 225 + -225 + -43a = 268 + -225 Combine like terms: 225 + -225 = 0 0 + -43a = 268 + -225 -43a = 268 + -225 Combine like terms: 268 + -225 = 43 -43a = 43 Divide each side by '-43'. a = -1 Simplifying a = -1
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