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Simplifying 8 + -4(a + -1) = 2 + 3(4 + -1a) Reorder the terms: 8 + -4(-1 + a) = 2 + 3(4 + -1a) 8 + (-1 * -4 + a * -4) = 2 + 3(4 + -1a) 8 + (4 + -4a) = 2 + 3(4 + -1a) Combine like terms: 8 + 4 = 12 12 + -4a = 2 + 3(4 + -1a) 12 + -4a = 2 + (4 * 3 + -1a * 3) 12 + -4a = 2 + (12 + -3a) Combine like terms: 2 + 12 = 14 12 + -4a = 14 + -3a Solving 12 + -4a = 14 + -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. 12 + -4a + 3a = 14 + -3a + 3a Combine like terms: -4a + 3a = -1a 12 + -1a = 14 + -3a + 3a Combine like terms: -3a + 3a = 0 12 + -1a = 14 + 0 12 + -1a = 14 Add '-12' to each side of the equation. 12 + -12 + -1a = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = 14 + -12 -1a = 14 + -12 Combine like terms: 14 + -12 = 2 -1a = 2 Divide each side by '-1'. a = -2 Simplifying a = -2
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