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Simplifying 5c + 9 = 7c + -7 Reorder the terms: 9 + 5c = 7c + -7 Reorder the terms: 9 + 5c = -7 + 7c Solving 9 + 5c = -7 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 9 + 5c + -7c = -7 + 7c + -7c Combine like terms: 5c + -7c = -2c 9 + -2c = -7 + 7c + -7c Combine like terms: 7c + -7c = 0 9 + -2c = -7 + 0 9 + -2c = -7 Add '-9' to each side of the equation. 9 + -9 + -2c = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -2c = -7 + -9 -2c = -7 + -9 Combine like terms: -7 + -9 = -16 -2c = -16 Divide each side by '-2'. c = 8 Simplifying c = 8
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