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Simplifying (0.5)(4a + 12) = 2 + 3(6 + -1c) Reorder the terms: 0.5(12 + 4a) = 2 + 3(6 + -1c) (12 * 0.5 + 4a * 0.5) = 2 + 3(6 + -1c) (6 + 2a) = 2 + 3(6 + -1c) 6 + 2a = 2 + (6 * 3 + -1c * 3) 6 + 2a = 2 + (18 + -3c) Combine like terms: 2 + 18 = 20 6 + 2a = 20 + -3c Solving 6 + 2a = 20 + -3c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2a = 20 + -6 + -3c Combine like terms: 6 + -6 = 0 0 + 2a = 20 + -6 + -3c 2a = 20 + -6 + -3c Combine like terms: 20 + -6 = 14 2a = 14 + -3c Divide each side by '2'. a = 7 + -1.5c Simplifying a = 7 + -1.5c
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