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Simplifying 17 = 24a + -1(2a + -6) Reorder the terms: 17 = 24a + -1(-6 + 2a) 17 = 24a + (-6 * -1 + 2a * -1) 17 = 24a + (6 + -2a) Reorder the terms: 17 = 6 + 24a + -2a Combine like terms: 24a + -2a = 22a 17 = 6 + 22a Solving 17 = 6 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. 17 + -22a = 6 + 22a + -22a Combine like terms: 22a + -22a = 0 17 + -22a = 6 + 0 17 + -22a = 6 Add '-17' to each side of the equation. 17 + -17 + -22a = 6 + -17 Combine like terms: 17 + -17 = 0 0 + -22a = 6 + -17 -22a = 6 + -17 Combine like terms: 6 + -17 = -11 -22a = -11 Divide each side by '-22'. a = 0.5 Simplifying a = 0.5
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