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Simplifying 6 + -2(4 + -2a) = 8 + -3(a + -1) 6 + (4 * -2 + -2a * -2) = 8 + -3(a + -1) 6 + (-8 + 4a) = 8 + -3(a + -1) Combine like terms: 6 + -8 = -2 -2 + 4a = 8 + -3(a + -1) Reorder the terms: -2 + 4a = 8 + -3(-1 + a) -2 + 4a = 8 + (-1 * -3 + a * -3) -2 + 4a = 8 + (3 + -3a) Combine like terms: 8 + 3 = 11 -2 + 4a = 11 + -3a Solving -2 + 4a = 11 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -2 + 4a + 3a = 11 + -3a + 3a Combine like terms: 4a + 3a = 7a -2 + 7a = 11 + -3a + 3a Combine like terms: -3a + 3a = 0 -2 + 7a = 11 + 0 -2 + 7a = 11 Add '2' to each side of the equation. -2 + 2 + 7a = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 7a = 11 + 2 7a = 11 + 2 Combine like terms: 11 + 2 = 13 7a = 13 Divide each side by '7'. a = 1.857142857 Simplifying a = 1.857142857
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