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Simplifying 2(a + -1) = 8a + -6 Reorder the terms: 2(-1 + a) = 8a + -6 (-1 * 2 + a * 2) = 8a + -6 (-2 + 2a) = 8a + -6 Reorder the terms: -2 + 2a = -6 + 8a Solving -2 + 2a = -6 + 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 + 2a + -8a = -6 + 8a + -8a Combine like terms: 2a + -8a = -6a -2 + -6a = -6 + 8a + -8a Combine like terms: 8a + -8a = 0 -2 + -6a = -6 + 0 -2 + -6a = -6 Add '2' to each side of the equation. -2 + 2 + -6a = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -6a = -6 + 2 -6a = -6 + 2 Combine like terms: -6 + 2 = -4 -6a = -4 Divide each side by '-6'. a = 0.6666666667 Simplifying a = 0.6666666667
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