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Simplifying 6(5a + 4) = -11 + -5a Reorder the terms: 6(4 + 5a) = -11 + -5a (4 * 6 + 5a * 6) = -11 + -5a (24 + 30a) = -11 + -5a Solving 24 + 30a = -11 + -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. 24 + 30a + 5a = -11 + -5a + 5a Combine like terms: 30a + 5a = 35a 24 + 35a = -11 + -5a + 5a Combine like terms: -5a + 5a = 0 24 + 35a = -11 + 0 24 + 35a = -11 Add '-24' to each side of the equation. 24 + -24 + 35a = -11 + -24 Combine like terms: 24 + -24 = 0 0 + 35a = -11 + -24 35a = -11 + -24 Combine like terms: -11 + -24 = -35 35a = -35 Divide each side by '35'. a = -1 Simplifying a = -1
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