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Simplifying -4a + 15 + 2a = 9a + -6a Reorder the terms: 15 + -4a + 2a = 9a + -6a Combine like terms: -4a + 2a = -2a 15 + -2a = 9a + -6a Combine like terms: 9a + -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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