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Simplifying -1(2 + -2a) + 8a = 6 + 2a (2 * -1 + -2a * -1) + 8a = 6 + 2a (-2 + 2a) + 8a = 6 + 2a Combine like terms: 2a + 8a = 10a -2 + 10a = 6 + 2a Solving -2 + 10a = 6 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -2 + 10a + -2a = 6 + 2a + -2a Combine like terms: 10a + -2a = 8a -2 + 8a = 6 + 2a + -2a Combine like terms: 2a + -2a = 0 -2 + 8a = 6 + 0 -2 + 8a = 6 Add '2' to each side of the equation. -2 + 2 + 8a = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 8a = 6 + 2 8a = 6 + 2 Combine like terms: 6 + 2 = 8 8a = 8 Divide each side by '8'. a = 1 Simplifying a = 1
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