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Simplifying -159 = -3(7a + -1) + 6 Reorder the terms: -159 = -3(-1 + 7a) + 6 -159 = (-1 * -3 + 7a * -3) + 6 -159 = (3 + -21a) + 6 Reorder the terms: -159 = 3 + 6 + -21a Combine like terms: 3 + 6 = 9 -159 = 9 + -21a Solving -159 = 9 + -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. -159 + 21a = 9 + -21a + 21a Combine like terms: -21a + 21a = 0 -159 + 21a = 9 + 0 -159 + 21a = 9 Add '159' to each side of the equation. -159 + 159 + 21a = 9 + 159 Combine like terms: -159 + 159 = 0 0 + 21a = 9 + 159 21a = 9 + 159 Combine like terms: 9 + 159 = 168 21a = 168 Divide each side by '21'. a = 8 Simplifying a = 8
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