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Simplifying 7c + 15 = 9c + 40 Reorder the terms: 15 + 7c = 9c + 40 Reorder the terms: 15 + 7c = 40 + 9c Solving 15 + 7c = 40 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 15 + 7c + -9c = 40 + 9c + -9c Combine like terms: 7c + -9c = -2c 15 + -2c = 40 + 9c + -9c Combine like terms: 9c + -9c = 0 15 + -2c = 40 + 0 15 + -2c = 40 Add '-15' to each side of the equation. 15 + -15 + -2c = 40 + -15 Combine like terms: 15 + -15 = 0 0 + -2c = 40 + -15 -2c = 40 + -15 Combine like terms: 40 + -15 = 25 -2c = 25 Divide each side by '-2'. c = -12.5 Simplifying c = -12.5
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