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Simplifying -5a + 15 + 7a = 3a + -6a Reorder the terms: 15 + -5a + 7a = 3a + -6a Combine like terms: -5a + 7a = 2a 15 + 2a = 3a + -6a Combine like terms: 3a + -6a = -3a 15 + 2a = -3a Solving 15 + 2a = -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. 15 + 2a + 3a = -3a + 3a Combine like terms: 2a + 3a = 5a 15 + 5a = -3a + 3a Combine like terms: -3a + 3a = 0 15 + 5a = 0 Add '-15' to each side of the equation. 15 + -15 + 5a = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5a = 0 + -15 5a = 0 + -15 Combine like terms: 0 + -15 = -15 5a = -15 Divide each side by '5'. a = -3 Simplifying a = -3
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