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Simplifying 39 + 6a = -5(-8a + -1) Reorder the terms: 39 + 6a = -5(-1 + -8a) 39 + 6a = (-1 * -5 + -8a * -5) 39 + 6a = (5 + 40a) Solving 39 + 6a = 5 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 39 + 6a + -40a = 5 + 40a + -40a Combine like terms: 6a + -40a = -34a 39 + -34a = 5 + 40a + -40a Combine like terms: 40a + -40a = 0 39 + -34a = 5 + 0 39 + -34a = 5 Add '-39' to each side of the equation. 39 + -39 + -34a = 5 + -39 Combine like terms: 39 + -39 = 0 0 + -34a = 5 + -39 -34a = 5 + -39 Combine like terms: 5 + -39 = -34 -34a = -34 Divide each side by '-34'. a = 1 Simplifying a = 1
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