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Simplifying 2c + 42 = 8c + 9 Reorder the terms: 42 + 2c = 8c + 9 Reorder the terms: 42 + 2c = 9 + 8c Solving 42 + 2c = 9 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 42 + 2c + -8c = 9 + 8c + -8c Combine like terms: 2c + -8c = -6c 42 + -6c = 9 + 8c + -8c Combine like terms: 8c + -8c = 0 42 + -6c = 9 + 0 42 + -6c = 9 Add '-42' to each side of the equation. 42 + -42 + -6c = 9 + -42 Combine like terms: 42 + -42 = 0 0 + -6c = 9 + -42 -6c = 9 + -42 Combine like terms: 9 + -42 = -33 -6c = -33 Divide each side by '-6'. c = 5.5 Simplifying c = 5.5
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