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Simplifying 7 + 10c = 8c + -9 Reorder the terms: 7 + 10c = -9 + 8c Solving 7 + 10c = -9 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 7 + 10c + -8c = -9 + 8c + -8c Combine like terms: 10c + -8c = 2c 7 + 2c = -9 + 8c + -8c Combine like terms: 8c + -8c = 0 7 + 2c = -9 + 0 7 + 2c = -9 Add '-7' to each side of the equation. 7 + -7 + 2c = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 2c = -9 + -7 2c = -9 + -7 Combine like terms: -9 + -7 = -16 2c = -16 Divide each side by '2'. c = -8 Simplifying c = -8
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