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Simplifying 8c + 7 + -9c = -2c + 6 Reorder the terms: 7 + 8c + -9c = -2c + 6 Combine like terms: 8c + -9c = -1c 7 + -1c = -2c + 6 Reorder the terms: 7 + -1c = 6 + -2c Solving 7 + -1c = 6 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. 7 + -1c + 2c = 6 + -2c + 2c Combine like terms: -1c + 2c = 1c 7 + 1c = 6 + -2c + 2c Combine like terms: -2c + 2c = 0 7 + 1c = 6 + 0 7 + 1c = 6 Add '-7' to each side of the equation. 7 + -7 + 1c = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1c = 6 + -7 1c = 6 + -7 Combine like terms: 6 + -7 = -1 1c = -1 Divide each side by '1'. c = -1 Simplifying c = -1
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