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