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Simplifying 39 + 5a = 2(-6a + -6) Reorder the terms: 39 + 5a = 2(-6 + -6a) 39 + 5a = (-6 * 2 + -6a * 2) 39 + 5a = (-12 + -12a) Solving 39 + 5a = -12 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 39 + 5a + 12a = -12 + -12a + 12a Combine like terms: 5a + 12a = 17a 39 + 17a = -12 + -12a + 12a Combine like terms: -12a + 12a = 0 39 + 17a = -12 + 0 39 + 17a = -12 Add '-39' to each side of the equation. 39 + -39 + 17a = -12 + -39 Combine like terms: 39 + -39 = 0 0 + 17a = -12 + -39 17a = -12 + -39 Combine like terms: -12 + -39 = -51 17a = -51 Divide each side by '17'. a = -3 Simplifying a = -3
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