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Simplifying 3a + 11 = 8a + -24 Reorder the terms: 11 + 3a = 8a + -24 Reorder the terms: 11 + 3a = -24 + 8a Solving 11 + 3a = -24 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 11 + 3a + -8a = -24 + 8a + -8a Combine like terms: 3a + -8a = -5a 11 + -5a = -24 + 8a + -8a Combine like terms: 8a + -8a = 0 11 + -5a = -24 + 0 11 + -5a = -24 Add '-11' to each side of the equation. 11 + -11 + -5a = -24 + -11 Combine like terms: 11 + -11 = 0 0 + -5a = -24 + -11 -5a = -24 + -11 Combine like terms: -24 + -11 = -35 -5a = -35 Divide each side by '-5'. a = 7 Simplifying a = 7
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