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Simplifying 5 + 5a = -3a + -11 Reorder the terms: 5 + 5a = -11 + -3a Solving 5 + 5a = -11 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 5 + 5a + 3a = -11 + -3a + 3a Combine like terms: 5a + 3a = 8a 5 + 8a = -11 + -3a + 3a Combine like terms: -3a + 3a = 0 5 + 8a = -11 + 0 5 + 8a = -11 Add '-5' to each side of the equation. 5 + -5 + 8a = -11 + -5 Combine like terms: 5 + -5 = 0 0 + 8a = -11 + -5 8a = -11 + -5 Combine like terms: -11 + -5 = -16 8a = -16 Divide each side by '8'. a = -2 Simplifying a = -2
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