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Simplifying -5(-7a + -5) = -39 + 3a Reorder the terms: -5(-5 + -7a) = -39 + 3a (-5 * -5 + -7a * -5) = -39 + 3a (25 + 35a) = -39 + 3a Solving 25 + 35a = -39 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 25 + 35a + -3a = -39 + 3a + -3a Combine like terms: 35a + -3a = 32a 25 + 32a = -39 + 3a + -3a Combine like terms: 3a + -3a = 0 25 + 32a = -39 + 0 25 + 32a = -39 Add '-25' to each side of the equation. 25 + -25 + 32a = -39 + -25 Combine like terms: 25 + -25 = 0 0 + 32a = -39 + -25 32a = -39 + -25 Combine like terms: -39 + -25 = -64 32a = -64 Divide each side by '32'. a = -2 Simplifying a = -2
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