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Simplifying 8 + -3(a + -1) = 2 + 4(3 + -1a) Reorder the terms: 8 + -3(-1 + a) = 2 + 4(3 + -1a) 8 + (-1 * -3 + a * -3) = 2 + 4(3 + -1a) 8 + (3 + -3a) = 2 + 4(3 + -1a) Combine like terms: 8 + 3 = 11 11 + -3a = 2 + 4(3 + -1a) 11 + -3a = 2 + (3 * 4 + -1a * 4) 11 + -3a = 2 + (12 + -4a) Combine like terms: 2 + 12 = 14 11 + -3a = 14 + -4a Solving 11 + -3a = 14 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 11 + -3a + 4a = 14 + -4a + 4a Combine like terms: -3a + 4a = 1a 11 + 1a = 14 + -4a + 4a Combine like terms: -4a + 4a = 0 11 + 1a = 14 + 0 11 + 1a = 14 Add '-11' to each side of the equation. 11 + -11 + 1a = 14 + -11 Combine like terms: 11 + -11 = 0 0 + 1a = 14 + -11 1a = 14 + -11 Combine like terms: 14 + -11 = 3 1a = 3 Divide each side by '1'. a = 3 Simplifying a = 3
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