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Simplifying -5a + 39 = -6(a + -6) Reorder the terms: 39 + -5a = -6(a + -6) Reorder the terms: 39 + -5a = -6(-6 + a) 39 + -5a = (-6 * -6 + a * -6) 39 + -5a = (36 + -6a) Solving 39 + -5a = 36 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 39 + -5a + 6a = 36 + -6a + 6a Combine like terms: -5a + 6a = 1a 39 + 1a = 36 + -6a + 6a Combine like terms: -6a + 6a = 0 39 + 1a = 36 + 0 39 + 1a = 36 Add '-39' to each side of the equation. 39 + -39 + 1a = 36 + -39 Combine like terms: 39 + -39 = 0 0 + 1a = 36 + -39 1a = 36 + -39 Combine like terms: 36 + -39 = -3 1a = -3 Divide each side by '1'. a = -3 Simplifying a = -3
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