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Simplifying 2(c + -4d2) + -2(4c + -1d2) = 0 (c * 2 + -4d2 * 2) + -2(4c + -1d2) = 0 (2c + -8d2) + -2(4c + -1d2) = 0 2c + -8d2 + (4c * -2 + -1d2 * -2) = 0 2c + -8d2 + (-8c + 2d2) = 0 Reorder the terms: 2c + -8c + -8d2 + 2d2 = 0 Combine like terms: 2c + -8c = -6c -6c + -8d2 + 2d2 = 0 Combine like terms: -8d2 + 2d2 = -6d2 -6c + -6d2 = 0 Solving -6c + -6d2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6d2' to each side of the equation. -6c + -6d2 + 6d2 = 0 + 6d2 Combine like terms: -6d2 + 6d2 = 0 -6c + 0 = 0 + 6d2 -6c = 0 + 6d2 Remove the zero: -6c = 6d2 Divide each side by '-6'. c = -1d2 Simplifying c = -1d2
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