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Simplifying 4a + 24 + -8a = -39 + -19a + 2 Reorder the terms: 24 + 4a + -8a = -39 + -19a + 2 Combine like terms: 4a + -8a = -4a 24 + -4a = -39 + -19a + 2 Reorder the terms: 24 + -4a = -39 + 2 + -19a Combine like terms: -39 + 2 = -37 24 + -4a = -37 + -19a Solving 24 + -4a = -37 + -19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19a' to each side of the equation. 24 + -4a + 19a = -37 + -19a + 19a Combine like terms: -4a + 19a = 15a 24 + 15a = -37 + -19a + 19a Combine like terms: -19a + 19a = 0 24 + 15a = -37 + 0 24 + 15a = -37 Add '-24' to each side of the equation. 24 + -24 + 15a = -37 + -24 Combine like terms: 24 + -24 = 0 0 + 15a = -37 + -24 15a = -37 + -24 Combine like terms: -37 + -24 = -61 15a = -61 Divide each side by '15'. a = -4.066666667 Simplifying a = -4.066666667
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