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Simplifying -2a + 22 + 7a = 3a + -9a Reorder the terms: 22 + -2a + 7a = 3a + -9a Combine like terms: -2a + 7a = 5a 22 + 5a = 3a + -9a Combine like terms: 3a + -9a = -6a 22 + 5a = -6a Solving 22 + 5a = -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 22 + 5a + 6a = -6a + 6a Combine like terms: 5a + 6a = 11a 22 + 11a = -6a + 6a Combine like terms: -6a + 6a = 0 22 + 11a = 0 Add '-22' to each side of the equation. 22 + -22 + 11a = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 11a = 0 + -22 11a = 0 + -22 Combine like terms: 0 + -22 = -22 11a = -22 Divide each side by '11'. a = -2 Simplifying a = -2
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