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Simplifying 4a + 8 + 2a = -2a + 24 Reorder the terms: 8 + 4a + 2a = -2a + 24 Combine like terms: 4a + 2a = 6a 8 + 6a = -2a + 24 Reorder the terms: 8 + 6a = 24 + -2a Solving 8 + 6a = 24 + -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 + 6a + 2a = 24 + -2a + 2a Combine like terms: 6a + 2a = 8a 8 + 8a = 24 + -2a + 2a Combine like terms: -2a + 2a = 0 8 + 8a = 24 + 0 8 + 8a = 24 Add '-8' to each side of the equation. 8 + -8 + 8a = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 8a = 24 + -8 8a = 24 + -8 Combine like terms: 24 + -8 = 16 8a = 16 Divide each side by '8'. a = 2 Simplifying a = 2
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