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Simplifying 5c + 7 = 2c + 15 Reorder the terms: 7 + 5c = 2c + 15 Reorder the terms: 7 + 5c = 15 + 2c Solving 7 + 5c = 15 + 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 + 5c + -2c = 15 + 2c + -2c Combine like terms: 5c + -2c = 3c 7 + 3c = 15 + 2c + -2c Combine like terms: 2c + -2c = 0 7 + 3c = 15 + 0 7 + 3c = 15 Add '-7' to each side of the equation. 7 + -7 + 3c = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 3c = 15 + -7 3c = 15 + -7 Combine like terms: 15 + -7 = 8 3c = 8 Divide each side by '3'. c = 2.666666667 Simplifying c = 2.666666667
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