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Simplifying -179 = -4 + -7(1 + -3a) -179 = -4 + (1 * -7 + -3a * -7) -179 = -4 + (-7 + 21a) Combine like terms: -4 + -7 = -11 -179 = -11 + 21a Solving -179 = -11 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. -179 + -21a = -11 + 21a + -21a Combine like terms: 21a + -21a = 0 -179 + -21a = -11 + 0 -179 + -21a = -11 Add '179' to each side of the equation. -179 + 179 + -21a = -11 + 179 Combine like terms: -179 + 179 = 0 0 + -21a = -11 + 179 -21a = -11 + 179 Combine like terms: -11 + 179 = 168 -21a = 168 Divide each side by '-21'. a = -8 Simplifying a = -8
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