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Simplifying -5(2 + -2a) + -1(8 + a) = 9 (2 * -5 + -2a * -5) + -1(8 + a) = 9 (-10 + 10a) + -1(8 + a) = 9 -10 + 10a + (8 * -1 + a * -1) = 9 -10 + 10a + (-8 + -1a) = 9 Reorder the terms: -10 + -8 + 10a + -1a = 9 Combine like terms: -10 + -8 = -18 -18 + 10a + -1a = 9 Combine like terms: 10a + -1a = 9a -18 + 9a = 9 Solving -18 + 9a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 9a = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 9a = 9 + 18 9a = 9 + 18 Combine like terms: 9 + 18 = 27 9a = 27 Divide each side by '9'. a = 3 Simplifying a = 3
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