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Simplifying 7c + 4 = 5c + -10 Reorder the terms: 4 + 7c = 5c + -10 Reorder the terms: 4 + 7c = -10 + 5c Solving 4 + 7c = -10 + 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. 4 + 7c + -5c = -10 + 5c + -5c Combine like terms: 7c + -5c = 2c 4 + 2c = -10 + 5c + -5c Combine like terms: 5c + -5c = 0 4 + 2c = -10 + 0 4 + 2c = -10 Add '-4' to each side of the equation. 4 + -4 + 2c = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 2c = -10 + -4 2c = -10 + -4 Combine like terms: -10 + -4 = -14 2c = -14 Divide each side by '2'. c = -7 Simplifying c = -7
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