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Simplifying 5c + 5d + -6 = (6c + 6d) Reorder the terms: -6 + 5c + 5d = (6c + 6d) Remove parenthesis around (6c + 6d) -6 + 5c + 5d = 6c + 6d Solving -6 + 5c + 5d = 6c + 6d Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -6 + 5c + -6c + 5d = 6c + -6c + 6d Combine like terms: 5c + -6c = -1c -6 + -1c + 5d = 6c + -6c + 6d Combine like terms: 6c + -6c = 0 -6 + -1c + 5d = 0 + 6d -6 + -1c + 5d = 6d Add '6' to each side of the equation. -6 + -1c + 6 + 5d = 6 + 6d Reorder the terms: -6 + 6 + -1c + 5d = 6 + 6d Combine like terms: -6 + 6 = 0 0 + -1c + 5d = 6 + 6d -1c + 5d = 6 + 6d Add '-5d' to each side of the equation. -1c + 5d + -5d = 6 + 6d + -5d Combine like terms: 5d + -5d = 0 -1c + 0 = 6 + 6d + -5d -1c = 6 + 6d + -5d Combine like terms: 6d + -5d = 1d -1c = 6 + 1d Divide each side by '-1'. c = -6 + -1d Simplifying c = -6 + -1d
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