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Simplifying -2(1 + -7a) = 8a (1 * -2 + -7a * -2) = 8a (-2 + 14a) = 8a Solving -2 + 14a = 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -2 + 14a + -8a = 8a + -8a Combine like terms: 14a + -8a = 6a -2 + 6a = 8a + -8a Combine like terms: 8a + -8a = 0 -2 + 6a = 0 Add '2' to each side of the equation. -2 + 2 + 6a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6a = 0 + 2 6a = 0 + 2 Combine like terms: 0 + 2 = 2 6a = 2 Divide each side by '6'. a = 0.3333333333 Simplifying a = 0.3333333333
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