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Simplifying 7 = 5c + 22 + -10c Reorder the terms: 7 = 22 + 5c + -10c Combine like terms: 5c + -10c = -5c 7 = 22 + -5c Solving 7 = 22 + -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. 7 + 5c = 22 + -5c + 5c Combine like terms: -5c + 5c = 0 7 + 5c = 22 + 0 7 + 5c = 22 Add '-7' to each side of the equation. 7 + -7 + 5c = 22 + -7 Combine like terms: 7 + -7 = 0 0 + 5c = 22 + -7 5c = 22 + -7 Combine like terms: 22 + -7 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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