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Simplifying 3a + -8 = 22 + -2a Reorder the terms: -8 + 3a = 22 + -2a Solving -8 + 3a = 22 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -8 + 3a + 2a = 22 + -2a + 2a Combine like terms: 3a + 2a = 5a -8 + 5a = 22 + -2a + 2a Combine like terms: -2a + 2a = 0 -8 + 5a = 22 + 0 -8 + 5a = 22 Add '8' to each side of the equation. -8 + 8 + 5a = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 5a = 22 + 8 5a = 22 + 8 Combine like terms: 22 + 8 = 30 5a = 30 Divide each side by '5'. a = 6 Simplifying a = 6
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