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Simplifying 2a + 5 = 6a + 9 Reorder the terms: 5 + 2a = 6a + 9 Reorder the terms: 5 + 2a = 9 + 6a Solving 5 + 2a = 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. 5 + 2a + -6a = 9 + 6a + -6a Combine like terms: 2a + -6a = -4a 5 + -4a = 9 + 6a + -6a Combine like terms: 6a + -6a = 0 5 + -4a = 9 + 0 5 + -4a = 9 Add '-5' to each side of the equation. 5 + -5 + -4a = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -4a = 9 + -5 -4a = 9 + -5 Combine like terms: 9 + -5 = 4 -4a = 4 Divide each side by '-4'. a = -1 Simplifying a = -1
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