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Simplifying 2(1 + 10a) + 9a = -22 + 5a (1 * 2 + 10a * 2) + 9a = -22 + 5a (2 + 20a) + 9a = -22 + 5a Combine like terms: 20a + 9a = 29a 2 + 29a = -22 + 5a Solving 2 + 29a = -22 + 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. 2 + 29a + -5a = -22 + 5a + -5a Combine like terms: 29a + -5a = 24a 2 + 24a = -22 + 5a + -5a Combine like terms: 5a + -5a = 0 2 + 24a = -22 + 0 2 + 24a = -22 Add '-2' to each side of the equation. 2 + -2 + 24a = -22 + -2 Combine like terms: 2 + -2 = 0 0 + 24a = -22 + -2 24a = -22 + -2 Combine like terms: -22 + -2 = -24 24a = -24 Divide each side by '24'. a = -1 Simplifying a = -1
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