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Simplifying 7c + -5c + 4 = 4c + -10 Reorder the terms: 4 + 7c + -5c = 4c + -10 Combine like terms: 7c + -5c = 2c 4 + 2c = 4c + -10 Reorder the terms: 4 + 2c = -10 + 4c Solving 4 + 2c = -10 + 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. 4 + 2c + -4c = -10 + 4c + -4c Combine like terms: 2c + -4c = -2c 4 + -2c = -10 + 4c + -4c Combine like terms: 4c + -4c = 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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