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Simplifying 2 + -4(a + -1) = 8 + -1a Reorder the terms: 2 + -4(-1 + a) = 8 + -1a 2 + (-1 * -4 + a * -4) = 8 + -1a 2 + (4 + -4a) = 8 + -1a Combine like terms: 2 + 4 = 6 6 + -4a = 8 + -1a Solving 6 + -4a = 8 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 6 + -4a + a = 8 + -1a + a Combine like terms: -4a + a = -3a 6 + -3a = 8 + -1a + a Combine like terms: -1a + a = 0 6 + -3a = 8 + 0 6 + -3a = 8 Add '-6' to each side of the equation. 6 + -6 + -3a = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -3a = 8 + -6 -3a = 8 + -6 Combine like terms: 8 + -6 = 2 -3a = 2 Divide each side by '-3'. a = -0.6666666667 Simplifying a = -0.6666666667
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