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Simplifying 10 + 8c + 7c = -10 + 10c Combine like terms: 8c + 7c = 15c 10 + 15c = -10 + 10c Solving 10 + 15c = -10 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 10 + 15c + -10c = -10 + 10c + -10c Combine like terms: 15c + -10c = 5c 10 + 5c = -10 + 10c + -10c Combine like terms: 10c + -10c = 0 10 + 5c = -10 + 0 10 + 5c = -10 Add '-10' to each side of the equation. 10 + -10 + 5c = -10 + -10 Combine like terms: 10 + -10 = 0 0 + 5c = -10 + -10 5c = -10 + -10 Combine like terms: -10 + -10 = -20 5c = -20 Divide each side by '5'. c = -4 Simplifying c = -4
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