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Simplifying 9c + -6 = 2c + 29 Reorder the terms: -6 + 9c = 2c + 29 Reorder the terms: -6 + 9c = 29 + 2c Solving -6 + 9c = 29 + 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. -6 + 9c + -2c = 29 + 2c + -2c Combine like terms: 9c + -2c = 7c -6 + 7c = 29 + 2c + -2c Combine like terms: 2c + -2c = 0 -6 + 7c = 29 + 0 -6 + 7c = 29 Add '6' to each side of the equation. -6 + 6 + 7c = 29 + 6 Combine like terms: -6 + 6 = 0 0 + 7c = 29 + 6 7c = 29 + 6 Combine like terms: 29 + 6 = 35 7c = 35 Divide each side by '7'. c = 5 Simplifying c = 5
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