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Simplifying 3c + 4 = 7c + 8 Reorder the terms: 4 + 3c = 7c + 8 Reorder the terms: 4 + 3c = 8 + 7c Solving 4 + 3c = 8 + 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. 4 + 3c + -7c = 8 + 7c + -7c Combine like terms: 3c + -7c = -4c 4 + -4c = 8 + 7c + -7c Combine like terms: 7c + -7c = 0 4 + -4c = 8 + 0 4 + -4c = 8 Add '-4' to each side of the equation. 4 + -4 + -4c = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -4c = 8 + -4 -4c = 8 + -4 Combine like terms: 8 + -4 = 4 -4c = 4 Divide each side by '-4'. c = -1 Simplifying c = -1
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