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Simplifying 7c + 7 = 40 + 4c Reorder the terms: 7 + 7c = 40 + 4c Solving 7 + 7c = 40 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 7 + 7c + -4c = 40 + 4c + -4c Combine like terms: 7c + -4c = 3c 7 + 3c = 40 + 4c + -4c Combine like terms: 4c + -4c = 0 7 + 3c = 40 + 0 7 + 3c = 40 Add '-7' to each side of the equation. 7 + -7 + 3c = 40 + -7 Combine like terms: 7 + -7 = 0 0 + 3c = 40 + -7 3c = 40 + -7 Combine like terms: 40 + -7 = 33 3c = 33 Divide each side by '3'. c = 11 Simplifying c = 11
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