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Simplifying 5 + 6a = -2a + 24 Reorder the terms: 5 + 6a = 24 + -2a Solving 5 + 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. 5 + 6a + 2a = 24 + -2a + 2a Combine like terms: 6a + 2a = 8a 5 + 8a = 24 + -2a + 2a Combine like terms: -2a + 2a = 0 5 + 8a = 24 + 0 5 + 8a = 24 Add '-5' to each side of the equation. 5 + -5 + 8a = 24 + -5 Combine like terms: 5 + -5 = 0 0 + 8a = 24 + -5 8a = 24 + -5 Combine like terms: 24 + -5 = 19 8a = 19 Divide each side by '8'. a = 2.375 Simplifying a = 2.375
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