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Simplifying -8a + -2(a + -4) = -2(6a + -3) Reorder the terms: -8a + -2(-4 + a) = -2(6a + -3) -8a + (-4 * -2 + a * -2) = -2(6a + -3) -8a + (8 + -2a) = -2(6a + -3) Reorder the terms: 8 + -8a + -2a = -2(6a + -3) Combine like terms: -8a + -2a = -10a 8 + -10a = -2(6a + -3) Reorder the terms: 8 + -10a = -2(-3 + 6a) 8 + -10a = (-3 * -2 + 6a * -2) 8 + -10a = (6 + -12a) Solving 8 + -10a = 6 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 8 + -10a + 12a = 6 + -12a + 12a Combine like terms: -10a + 12a = 2a 8 + 2a = 6 + -12a + 12a Combine like terms: -12a + 12a = 0 8 + 2a = 6 + 0 8 + 2a = 6 Add '-8' to each side of the equation. 8 + -8 + 2a = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 6 + -8 2a = 6 + -8 Combine like terms: 6 + -8 = -2 2a = -2 Divide each side by '2'. a = -1 Simplifying a = -1
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