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Simplifying 5c + -7 = -2c + 21 Reorder the terms: -7 + 5c = -2c + 21 Reorder the terms: -7 + 5c = 21 + -2c Solving -7 + 5c = 21 + -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 = 21 + -2c + 2c Combine like terms: 5c + 2c = 7c -7 + 7c = 21 + -2c + 2c Combine like terms: -2c + 2c = 0 -7 + 7c = 21 + 0 -7 + 7c = 21 Add '7' to each side of the equation. -7 + 7 + 7c = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 7c = 21 + 7 7c = 21 + 7 Combine like terms: 21 + 7 = 28 7c = 28 Divide each side by '7'. c = 4 Simplifying c = 4
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