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Simplifying c + 45 = 2c + -42 Reorder the terms: 45 + c = 2c + -42 Reorder the terms: 45 + c = -42 + 2c Solving 45 + c = -42 + 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. 45 + c + -2c = -42 + 2c + -2c Combine like terms: c + -2c = -1c 45 + -1c = -42 + 2c + -2c Combine like terms: 2c + -2c = 0 45 + -1c = -42 + 0 45 + -1c = -42 Add '-45' to each side of the equation. 45 + -45 + -1c = -42 + -45 Combine like terms: 45 + -45 = 0 0 + -1c = -42 + -45 -1c = -42 + -45 Combine like terms: -42 + -45 = -87 -1c = -87 Divide each side by '-1'. c = 87 Simplifying c = 87
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