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Simplifying -5a + 8 + 9a = 8a + -2a Reorder the terms: 8 + -5a + 9a = 8a + -2a Combine like terms: -5a + 9a = 4a 8 + 4a = 8a + -2a Combine like terms: 8a + -2a = 6a 8 + 4a = 6a Solving 8 + 4a = 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. 8 + 4a + -6a = 6a + -6a Combine like terms: 4a + -6a = -2a 8 + -2a = 6a + -6a Combine like terms: 6a + -6a = 0 8 + -2a = 0 Add '-8' to each side of the equation. 8 + -8 + -2a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2a = 0 + -8 -2a = 0 + -8 Combine like terms: 0 + -8 = -8 -2a = -8 Divide each side by '-2'. a = 4 Simplifying a = 4
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