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Simplifying (6d + 5) + -1(-3c + 7d) = 0 Reorder the terms: (5 + 6d) + -1(-3c + 7d) = 0 Remove parenthesis around (5 + 6d) 5 + 6d + -1(-3c + 7d) = 0 5 + 6d + (-3c * -1 + 7d * -1) = 0 5 + 6d + (3c + -7d) = 0 Reorder the terms: 5 + 3c + 6d + -7d = 0 Combine like terms: 6d + -7d = -1d 5 + 3c + -1d = 0 Solving 5 + 3c + -1d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3c + -5 + -1d = 0 + -5 Reorder the terms: 5 + -5 + 3c + -1d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3c + -1d = 0 + -5 3c + -1d = 0 + -5 Combine like terms: 0 + -5 = -5 3c + -1d = -5 Add 'd' to each side of the equation. 3c + -1d + d = -5 + d Combine like terms: -1d + d = 0 3c + 0 = -5 + d 3c = -5 + d Divide each side by '3'. c = -1.666666667 + 0.3333333333d Simplifying c = -1.666666667 + 0.3333333333d
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