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Simplifying -8(-7 + -3a) = 2(7a + 8) (-7 * -8 + -3a * -8) = 2(7a + 8) (56 + 24a) = 2(7a + 8) Reorder the terms: 56 + 24a = 2(8 + 7a) 56 + 24a = (8 * 2 + 7a * 2) 56 + 24a = (16 + 14a) Solving 56 + 24a = 16 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 56 + 24a + -14a = 16 + 14a + -14a Combine like terms: 24a + -14a = 10a 56 + 10a = 16 + 14a + -14a Combine like terms: 14a + -14a = 0 56 + 10a = 16 + 0 56 + 10a = 16 Add '-56' to each side of the equation. 56 + -56 + 10a = 16 + -56 Combine like terms: 56 + -56 = 0 0 + 10a = 16 + -56 10a = 16 + -56 Combine like terms: 16 + -56 = -40 10a = -40 Divide each side by '10'. a = -4 Simplifying a = -4
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