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Simplifying -2a + 22 + 9a = 3a + -7a Reorder the terms: 22 + -2a + 9a = 3a + -7a Combine like terms: -2a + 9a = 7a 22 + 7a = 3a + -7a Combine like terms: 3a + -7a = -4a 22 + 7a = -4a Solving 22 + 7a = -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 22 + 7a + 4a = -4a + 4a Combine like terms: 7a + 4a = 11a 22 + 11a = -4a + 4a Combine like terms: -4a + 4a = 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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