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Simplifying 2c + d + 4 + -1c + -2d + 7 = 0 Reorder the terms: 4 + 7 + 2c + -1c + d + -2d = 0 Combine like terms: 4 + 7 = 11 11 + 2c + -1c + d + -2d = 0 Combine like terms: 2c + -1c = 1c 11 + 1c + d + -2d = 0 Combine like terms: d + -2d = -1d 11 + 1c + -1d = 0 Solving 11 + 1c + -1d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 1c + -11 + -1d = 0 + -11 Reorder the terms: 11 + -11 + 1c + -1d = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 1c + -1d = 0 + -11 1c + -1d = 0 + -11 Combine like terms: 0 + -11 = -11 1c + -1d = -11 Add 'd' to each side of the equation. 1c + -1d + d = -11 + d Combine like terms: -1d + d = 0 1c + 0 = -11 + d 1c = -11 + d Divide each side by '1'. c = -11 + d Simplifying c = -11 + d
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