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Simplifying 4c + 15 = 45 + -2c Reorder the terms: 15 + 4c = 45 + -2c Solving 15 + 4c = 45 + -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. 15 + 4c + 2c = 45 + -2c + 2c Combine like terms: 4c + 2c = 6c 15 + 6c = 45 + -2c + 2c Combine like terms: -2c + 2c = 0 15 + 6c = 45 + 0 15 + 6c = 45 Add '-15' to each side of the equation. 15 + -15 + 6c = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 6c = 45 + -15 6c = 45 + -15 Combine like terms: 45 + -15 = 30 6c = 30 Divide each side by '6'. c = 5 Simplifying c = 5
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