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Simplifying 5c + -2 = 2c + 19 Reorder the terms: -2 + 5c = 2c + 19 Reorder the terms: -2 + 5c = 19 + 2c Solving -2 + 5c = 19 + 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 = 19 + 2c + -2c Combine like terms: 5c + -2c = 3c -2 + 3c = 19 + 2c + -2c Combine like terms: 2c + -2c = 0 -2 + 3c = 19 + 0 -2 + 3c = 19 Add '2' to each side of the equation. -2 + 2 + 3c = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 3c = 19 + 2 3c = 19 + 2 Combine like terms: 19 + 2 = 21 3c = 21 Divide each side by '3'. c = 7 Simplifying c = 7
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