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Simplifying 39 + -4a = 7 + 6(1 + -5a) 39 + -4a = 7 + (1 * 6 + -5a * 6) 39 + -4a = 7 + (6 + -30a) Combine like terms: 7 + 6 = 13 39 + -4a = 13 + -30a Solving 39 + -4a = 13 + -30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30a' to each side of the equation. 39 + -4a + 30a = 13 + -30a + 30a Combine like terms: -4a + 30a = 26a 39 + 26a = 13 + -30a + 30a Combine like terms: -30a + 30a = 0 39 + 26a = 13 + 0 39 + 26a = 13 Add '-39' to each side of the equation. 39 + -39 + 26a = 13 + -39 Combine like terms: 39 + -39 = 0 0 + 26a = 13 + -39 26a = 13 + -39 Combine like terms: 13 + -39 = -26 26a = -26 Divide each side by '26'. a = -1 Simplifying a = -1
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