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Simplifying 2a + 9 = 5a + -6 Reorder the terms: 9 + 2a = 5a + -6 Reorder the terms: 9 + 2a = -6 + 5a Solving 9 + 2a = -6 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 9 + 2a + -5a = -6 + 5a + -5a Combine like terms: 2a + -5a = -3a 9 + -3a = -6 + 5a + -5a Combine like terms: 5a + -5a = 0 9 + -3a = -6 + 0 9 + -3a = -6 Add '-9' to each side of the equation. 9 + -9 + -3a = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3a = -6 + -9 -3a = -6 + -9 Combine like terms: -6 + -9 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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