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Simplifying -174 = 6(1 + -5a) -174 = (1 * 6 + -5a * 6) -174 = (6 + -30a) Solving -174 = 6 + -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. -174 + 30a = 6 + -30a + 30a Combine like terms: -30a + 30a = 0 -174 + 30a = 6 + 0 -174 + 30a = 6 Add '174' to each side of the equation. -174 + 174 + 30a = 6 + 174 Combine like terms: -174 + 174 = 0 0 + 30a = 6 + 174 30a = 6 + 174 Combine like terms: 6 + 174 = 180 30a = 180 Divide each side by '30'. a = 6 Simplifying a = 6
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