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Simplifying -2(5 + -7a) + -8a = 5a + -17 (5 * -2 + -7a * -2) + -8a = 5a + -17 (-10 + 14a) + -8a = 5a + -17 Combine like terms: 14a + -8a = 6a -10 + 6a = 5a + -17 Reorder the terms: -10 + 6a = -17 + 5a Solving -10 + 6a = -17 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -10 + 6a + -5a = -17 + 5a + -5a Combine like terms: 6a + -5a = 1a -10 + 1a = -17 + 5a + -5a Combine like terms: 5a + -5a = 0 -10 + 1a = -17 + 0 -10 + 1a = -17 Add '10' to each side of the equation. -10 + 10 + 1a = -17 + 10 Combine like terms: -10 + 10 = 0 0 + 1a = -17 + 10 1a = -17 + 10 Combine like terms: -17 + 10 = -7 1a = -7 Divide each side by '1'. a = -7 Simplifying a = -7
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