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Simplifying 39 + -3a = 7(1 + -5a) 39 + -3a = (1 * 7 + -5a * 7) 39 + -3a = (7 + -35a) Solving 39 + -3a = 7 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. 39 + -3a + 35a = 7 + -35a + 35a Combine like terms: -3a + 35a = 32a 39 + 32a = 7 + -35a + 35a Combine like terms: -35a + 35a = 0 39 + 32a = 7 + 0 39 + 32a = 7 Add '-39' to each side of the equation. 39 + -39 + 32a = 7 + -39 Combine like terms: 39 + -39 = 0 0 + 32a = 7 + -39 32a = 7 + -39 Combine like terms: 7 + -39 = -32 32a = -32 Divide each side by '32'. a = -1 Simplifying a = -1
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