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Simplifying -2a + 30 + 8a = 3a + -7a Reorder the terms: 30 + -2a + 8a = 3a + -7a Combine like terms: -2a + 8a = 6a 30 + 6a = 3a + -7a Combine like terms: 3a + -7a = -4a 30 + 6a = -4a Solving 30 + 6a = -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. 30 + 6a + 4a = -4a + 4a Combine like terms: 6a + 4a = 10a 30 + 10a = -4a + 4a Combine like terms: -4a + 4a = 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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