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Simplifying (6c + -7d) + -1(3c + 6d) = 0 Remove parenthesis around (6c + -7d) 6c + -7d + -1(3c + 6d) = 0 6c + -7d + (3c * -1 + 6d * -1) = 0 6c + -7d + (-3c + -6d) = 0 Reorder the terms: 6c + -3c + -7d + -6d = 0 Combine like terms: 6c + -3c = 3c 3c + -7d + -6d = 0 Combine like terms: -7d + -6d = -13d 3c + -13d = 0 Solving 3c + -13d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '13d' to each side of the equation. 3c + -13d + 13d = 0 + 13d Combine like terms: -13d + 13d = 0 3c + 0 = 0 + 13d 3c = 0 + 13d Remove the zero: 3c = 13d Divide each side by '3'. c = 4.333333333d Simplifying c = 4.333333333d
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