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Simplifying 5a + 8 = 3a + 22 Reorder the terms: 8 + 5a = 3a + 22 Reorder the terms: 8 + 5a = 22 + 3a Solving 8 + 5a = 22 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 8 + 5a + -3a = 22 + 3a + -3a Combine like terms: 5a + -3a = 2a 8 + 2a = 22 + 3a + -3a Combine like terms: 3a + -3a = 0 8 + 2a = 22 + 0 8 + 2a = 22 Add '-8' to each side of the equation. 8 + -8 + 2a = 22 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 22 + -8 2a = 22 + -8 Combine like terms: 22 + -8 = 14 2a = 14 Divide each side by '2'. a = 7 Simplifying a = 7
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