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Simplifying 39 + -6a = 5(3 + -2a) 39 + -6a = (3 * 5 + -2a * 5) 39 + -6a = (15 + -10a) Solving 39 + -6a = 15 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 39 + -6a + 10a = 15 + -10a + 10a Combine like terms: -6a + 10a = 4a 39 + 4a = 15 + -10a + 10a Combine like terms: -10a + 10a = 0 39 + 4a = 15 + 0 39 + 4a = 15 Add '-39' to each side of the equation. 39 + -39 + 4a = 15 + -39 Combine like terms: 39 + -39 = 0 0 + 4a = 15 + -39 4a = 15 + -39 Combine like terms: 15 + -39 = -24 4a = -24 Divide each side by '4'. a = -6 Simplifying a = -6
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