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Simplifying -5a + 5 + 8a = 14 + -24 Reorder the terms: 5 + -5a + 8a = 14 + -24 Combine like terms: -5a + 8a = 3a 5 + 3a = 14 + -24 Combine like terms: 14 + -24 = -10 5 + 3a = -10 Solving 5 + 3a = -10 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3a = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = -10 + -5 3a = -10 + -5 Combine like terms: -10 + -5 = -15 3a = -15 Divide each side by '3'. a = -5 Simplifying a = -5
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