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Simplifying 0 = 2(2c + 1) + 3(2d) Reorder the terms: 0 = 2(1 + 2c) + 3(2d) 0 = (1 * 2 + 2c * 2) + 3(2d) 0 = (2 + 4c) + 3(2d) Remove parenthesis around (2d) 0 = 2 + 4c + 3 * 2d Multiply 3 * 2 0 = 2 + 4c + 6d Solving 0 = 2 + 4c + 6d Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 0 + -4c = 2 + 4c + -4c + 6d Remove the zero: -4c = 2 + 4c + -4c + 6d Combine like terms: 4c + -4c = 0 -4c = 2 + 0 + 6d -4c = 2 + 6d Divide each side by '-4'. c = -0.5 + -1.5d Simplifying c = -0.5 + -1.5d
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