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Simplifying -162 = -8a + -6(6a + 5) Reorder the terms: -162 = -8a + -6(5 + 6a) -162 = -8a + (5 * -6 + 6a * -6) -162 = -8a + (-30 + -36a) Reorder the terms: -162 = -30 + -8a + -36a Combine like terms: -8a + -36a = -44a -162 = -30 + -44a Solving -162 = -30 + -44a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '44a' to each side of the equation. -162 + 44a = -30 + -44a + 44a Combine like terms: -44a + 44a = 0 -162 + 44a = -30 + 0 -162 + 44a = -30 Add '162' to each side of the equation. -162 + 162 + 44a = -30 + 162 Combine like terms: -162 + 162 = 0 0 + 44a = -30 + 162 44a = -30 + 162 Combine like terms: -30 + 162 = 132 44a = 132 Divide each side by '44'. a = 3 Simplifying a = 3
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