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Simplifying 5c + 2 = 2c + (-7) Reorder the terms: 2 + 5c = 2c + (-7) 2 + 5c = 2c + -7 Reorder the terms: 2 + 5c = -7 + 2c Solving 2 + 5c = -7 + 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. 2 + 5c + -2c = -7 + 2c + -2c Combine like terms: 5c + -2c = 3c 2 + 3c = -7 + 2c + -2c Combine like terms: 2c + -2c = 0 2 + 3c = -7 + 0 2 + 3c = -7 Add '-2' to each side of the equation. 2 + -2 + 3c = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 3c = -7 + -2 3c = -7 + -2 Combine like terms: -7 + -2 = -9 3c = -9 Divide each side by '3'. c = -3 Simplifying c = -3
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