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Simplifying 7c + -4c + 3d + 5 + 7d = 0 Reorder the terms: 5 + 7c + -4c + 3d + 7d = 0 Combine like terms: 7c + -4c = 3c 5 + 3c + 3d + 7d = 0 Combine like terms: 3d + 7d = 10d 5 + 3c + 10d = 0 Solving 5 + 3c + 10d = 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 + 10d = 0 + -5 Reorder the terms: 5 + -5 + 3c + 10d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3c + 10d = 0 + -5 3c + 10d = 0 + -5 Combine like terms: 0 + -5 = -5 3c + 10d = -5 Add '-10d' to each side of the equation. 3c + 10d + -10d = -5 + -10d Combine like terms: 10d + -10d = 0 3c + 0 = -5 + -10d 3c = -5 + -10d Divide each side by '3'. c = -1.666666667 + -3.333333333d Simplifying c = -1.666666667 + -3.333333333d
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