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