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Simplifying -2a + 30 + 9a = 3a + -6a Reorder the terms: 30 + -2a + 9a = 3a + -6a Combine like terms: -2a + 9a = 7a 30 + 7a = 3a + -6a Combine like terms: 3a + -6a = -3a 30 + 7a = -3a Solving 30 + 7a = -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 30 + 7a + 3a = -3a + 3a Combine like terms: 7a + 3a = 10a 30 + 10a = -3a + 3a Combine like terms: -3a + 3a = 0 30 + 10a = 0 Add '-30' to each side of the equation. 30 + -30 + 10a = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 10a = 0 + -30 10a = 0 + -30 Combine like terms: 0 + -30 = -30 10a = -30 Divide each side by '10'. a = -3 Simplifying a = -3
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