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Simplifying 2c + 2 = 3c + -48 Reorder the terms: 2 + 2c = 3c + -48 Reorder the terms: 2 + 2c = -48 + 3c Solving 2 + 2c = -48 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 2 + 2c + -3c = -48 + 3c + -3c Combine like terms: 2c + -3c = -1c 2 + -1c = -48 + 3c + -3c Combine like terms: 3c + -3c = 0 2 + -1c = -48 + 0 2 + -1c = -48 Add '-2' to each side of the equation. 2 + -2 + -1c = -48 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = -48 + -2 -1c = -48 + -2 Combine like terms: -48 + -2 = -50 -1c = -50 Divide each side by '-1'. c = 50 Simplifying c = 50
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