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Simplifying 7c + 18 = -5c + 78 Reorder the terms: 18 + 7c = -5c + 78 Reorder the terms: 18 + 7c = 78 + -5c Solving 18 + 7c = 78 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. 18 + 7c + 5c = 78 + -5c + 5c Combine like terms: 7c + 5c = 12c 18 + 12c = 78 + -5c + 5c Combine like terms: -5c + 5c = 0 18 + 12c = 78 + 0 18 + 12c = 78 Add '-18' to each side of the equation. 18 + -18 + 12c = 78 + -18 Combine like terms: 18 + -18 = 0 0 + 12c = 78 + -18 12c = 78 + -18 Combine like terms: 78 + -18 = 60 12c = 60 Divide each side by '12'. c = 5 Simplifying c = 5
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