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Simplifying 3c + -4d + -4c + 3d + -6 = 0 Reorder the terms: -6 + 3c + -4c + -4d + 3d = 0 Combine like terms: 3c + -4c = -1c -6 + -1c + -4d + 3d = 0 Combine like terms: -4d + 3d = -1d -6 + -1c + -1d = 0 Solving -6 + -1c + -1d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1c + 6 + -1d = 0 + 6 Reorder the terms: -6 + 6 + -1c + -1d = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1c + -1d = 0 + 6 -1c + -1d = 0 + 6 Combine like terms: 0 + 6 = 6 -1c + -1d = 6 Add 'd' to each side of the equation. -1c + -1d + d = 6 + d Combine like terms: -1d + d = 0 -1c + 0 = 6 + d -1c = 6 + d Divide each side by '-1'. c = -6 + -1d Simplifying c = -6 + -1d
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