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Simplifying -7(1 + -4a) + -7a = 161 (1 * -7 + -4a * -7) + -7a = 161 (-7 + 28a) + -7a = 161 Combine like terms: 28a + -7a = 21a -7 + 21a = 161 Solving -7 + 21a = 161 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 21a = 161 + 7 Combine like terms: -7 + 7 = 0 0 + 21a = 161 + 7 21a = 161 + 7 Combine like terms: 161 + 7 = 168 21a = 168 Divide each side by '21'. a = 8 Simplifying a = 8
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