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Simplifying 7c + 48 = 2c + 58 Reorder the terms: 48 + 7c = 2c + 58 Reorder the terms: 48 + 7c = 58 + 2c Solving 48 + 7c = 58 + 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. 48 + 7c + -2c = 58 + 2c + -2c Combine like terms: 7c + -2c = 5c 48 + 5c = 58 + 2c + -2c Combine like terms: 2c + -2c = 0 48 + 5c = 58 + 0 48 + 5c = 58 Add '-48' to each side of the equation. 48 + -48 + 5c = 58 + -48 Combine like terms: 48 + -48 = 0 0 + 5c = 58 + -48 5c = 58 + -48 Combine like terms: 58 + -48 = 10 5c = 10 Divide each side by '5'. c = 2 Simplifying c = 2
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