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Simplifying -161 = -5(1 + -6a) + -6 -161 = (1 * -5 + -6a * -5) + -6 -161 = (-5 + 30a) + -6 Reorder the terms: -161 = -5 + -6 + 30a Combine like terms: -5 + -6 = -11 -161 = -11 + 30a Solving -161 = -11 + 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. -161 + -30a = -11 + 30a + -30a Combine like terms: 30a + -30a = 0 -161 + -30a = -11 + 0 -161 + -30a = -11 Add '161' to each side of the equation. -161 + 161 + -30a = -11 + 161 Combine like terms: -161 + 161 = 0 0 + -30a = -11 + 161 -30a = -11 + 161 Combine like terms: -11 + 161 = 150 -30a = 150 Divide each side by '-30'. a = -5 Simplifying a = -5
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