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Simplifying 9c + -4 = 2c + 38 Reorder the terms: -4 + 9c = 2c + 38 Reorder the terms: -4 + 9c = 38 + 2c Solving -4 + 9c = 38 + 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. -4 + 9c + -2c = 38 + 2c + -2c Combine like terms: 9c + -2c = 7c -4 + 7c = 38 + 2c + -2c Combine like terms: 2c + -2c = 0 -4 + 7c = 38 + 0 -4 + 7c = 38 Add '4' to each side of the equation. -4 + 4 + 7c = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 7c = 38 + 4 7c = 38 + 4 Combine like terms: 38 + 4 = 42 7c = 42 Divide each side by '7'. c = 6 Simplifying c = 6
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