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Simplifying 12.5c + 6 + -1(6.83c + -1a) = 0 Reorder the terms: 12.5c + 6 + -1(-1a + 6.83c) = 0 12.5c + 6 + (-1a * -1 + 6.83c * -1) = 0 12.5c + 6 + (1a + -6.83c) = 0 Reorder the terms: 6 + 1a + 12.5c + -6.83c = 0 Combine like terms: 12.5c + -6.83c = 5.67c 6 + 1a + 5.67c = 0 Solving 6 + 1a + 5.67c = 0 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 + 1a + -6 + 5.67c = 0 + -6 Reorder the terms: 6 + -6 + 1a + 5.67c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1a + 5.67c = 0 + -6 1a + 5.67c = 0 + -6 Combine like terms: 0 + -6 = -6 1a + 5.67c = -6 Add '-5.67c' to each side of the equation. 1a + 5.67c + -5.67c = -6 + -5.67c Combine like terms: 5.67c + -5.67c = 0.00 1a + 0.00 = -6 + -5.67c 1a = -6 + -5.67c Divide each side by '1'. a = -6 + -5.67c Simplifying a = -6 + -5.67c
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