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Simplifying -5a + 7 = 9 + -6a Reorder the terms: 7 + -5a = 9 + -6a Solving 7 + -5a = 9 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 7 + -5a + 6a = 9 + -6a + 6a Combine like terms: -5a + 6a = 1a 7 + 1a = 9 + -6a + 6a Combine like terms: -6a + 6a = 0 7 + 1a = 9 + 0 7 + 1a = 9 Add '-7' to each side of the equation. 7 + -7 + 1a = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 1a = 9 + -7 1a = 9 + -7 Combine like terms: 9 + -7 = 2 1a = 2 Divide each side by '1'. a = 2 Simplifying a = 2
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