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Simplifying (5 + 5d) + (7 + 3c) = 0 Remove parenthesis around (5 + 5d) 5 + 5d + (7 + 3c) = 0 Remove parenthesis around (7 + 3c) 5 + 5d + 7 + 3c = 0 Reorder the terms: 5 + 7 + 3c + 5d = 0 Combine like terms: 5 + 7 = 12 12 + 3c + 5d = 0 Solving 12 + 3c + 5d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 3c + -12 + 5d = 0 + -12 Reorder the terms: 12 + -12 + 3c + 5d = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3c + 5d = 0 + -12 3c + 5d = 0 + -12 Combine like terms: 0 + -12 = -12 3c + 5d = -12 Add '-5d' to each side of the equation. 3c + 5d + -5d = -12 + -5d Combine like terms: 5d + -5d = 0 3c + 0 = -12 + -5d 3c = -12 + -5d Divide each side by '3'. c = -4 + -1.666666667d Simplifying c = -4 + -1.666666667d
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