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Simplifying -8(-7 + -2a) + 8a = 16 + 4a (-7 * -8 + -2a * -8) + 8a = 16 + 4a (56 + 16a) + 8a = 16 + 4a Combine like terms: 16a + 8a = 24a 56 + 24a = 16 + 4a Solving 56 + 24a = 16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 56 + 24a + -4a = 16 + 4a + -4a Combine like terms: 24a + -4a = 20a 56 + 20a = 16 + 4a + -4a Combine like terms: 4a + -4a = 0 56 + 20a = 16 + 0 56 + 20a = 16 Add '-56' to each side of the equation. 56 + -56 + 20a = 16 + -56 Combine like terms: 56 + -56 = 0 0 + 20a = 16 + -56 20a = 16 + -56 Combine like terms: 16 + -56 = -40 20a = -40 Divide each side by '20'. a = -2 Simplifying a = -2
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