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