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Simplifying 5(a + 2) = 11 + -8a Reorder the terms: 5(2 + a) = 11 + -8a (2 * 5 + a * 5) = 11 + -8a (10 + 5a) = 11 + -8a Solving 10 + 5a = 11 + -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. 10 + 5a + 8a = 11 + -8a + 8a Combine like terms: 5a + 8a = 13a 10 + 13a = 11 + -8a + 8a Combine like terms: -8a + 8a = 0 10 + 13a = 11 + 0 10 + 13a = 11 Add '-10' to each side of the equation. 10 + -10 + 13a = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 13a = 11 + -10 13a = 11 + -10 Combine like terms: 11 + -10 = 1 13a = 1 Divide each side by '13'. a = 0.07692307692 Simplifying a = 0.07692307692
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