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Simplifying 5a + 22 = 9a + 12 Reorder the terms: 22 + 5a = 9a + 12 Reorder the terms: 22 + 5a = 12 + 9a Solving 22 + 5a = 12 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 22 + 5a + -9a = 12 + 9a + -9a Combine like terms: 5a + -9a = -4a 22 + -4a = 12 + 9a + -9a Combine like terms: 9a + -9a = 0 22 + -4a = 12 + 0 22 + -4a = 12 Add '-22' to each side of the equation. 22 + -22 + -4a = 12 + -22 Combine like terms: 22 + -22 = 0 0 + -4a = 12 + -22 -4a = 12 + -22 Combine like terms: 12 + -22 = -10 -4a = -10 Divide each side by '-4'. a = 2.5 Simplifying a = 2.5
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