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Simplifying 0 = -2(c + -1d) + (c + -1d) + -6(c + -1d) 0 = (c * -2 + -1d * -2) + (c + -1d) + -6(c + -1d) 0 = (-2c + 2d) + (c + -1d) + -6(c + -1d) Remove parenthesis around (c + -1d) 0 = -2c + 2d + c + -1d + -6(c + -1d) 0 = -2c + 2d + c + -1d + (c * -6 + -1d * -6) 0 = -2c + 2d + c + -1d + (-6c + 6d) Reorder the terms: 0 = -2c + c + -6c + 2d + -1d + 6d Combine like terms: -2c + c = -1c 0 = -1c + -6c + 2d + -1d + 6d Combine like terms: -1c + -6c = -7c 0 = -7c + 2d + -1d + 6d Combine like terms: 2d + -1d = 1d 0 = -7c + 1d + 6d Combine like terms: 1d + 6d = 7d 0 = -7c + 7d Solving 0 = -7c + 7d Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7c' to each side of the equation. 0 + 7c = -7c + 7c + 7d Remove the zero: 7c = -7c + 7c + 7d Combine like terms: -7c + 7c = 0 7c = 0 + 7d 7c = 7d Divide each side by '7'. c = d Simplifying c = d
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