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Simplifying -4a + 20 + 7a = 2a + -9a Reorder the terms: 20 + -4a + 7a = 2a + -9a Combine like terms: -4a + 7a = 3a 20 + 3a = 2a + -9a Combine like terms: 2a + -9a = -7a 20 + 3a = -7a Solving 20 + 3a = -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 20 + 3a + 7a = -7a + 7a Combine like terms: 3a + 7a = 10a 20 + 10a = -7a + 7a Combine like terms: -7a + 7a = 0 20 + 10a = 0 Add '-20' to each side of the equation. 20 + -20 + 10a = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 10a = 0 + -20 10a = 0 + -20 Combine like terms: 0 + -20 = -20 10a = -20 Divide each side by '10'. a = -2 Simplifying a = -2
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