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Simplifying 42 = c + (2c + -3) Reorder the terms: 42 = c + (-3 + 2c) Remove parenthesis around (-3 + 2c) 42 = c + -3 + 2c Reorder the terms: 42 = -3 + c + 2c Combine like terms: c + 2c = 3c 42 = -3 + 3c Solving 42 = -3 + 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. 42 + -3c = -3 + 3c + -3c Combine like terms: 3c + -3c = 0 42 + -3c = -3 + 0 42 + -3c = -3 Add '-42' to each side of the equation. 42 + -42 + -3c = -3 + -42 Combine like terms: 42 + -42 = 0 0 + -3c = -3 + -42 -3c = -3 + -42 Combine like terms: -3 + -42 = -45 -3c = -45 Divide each side by '-3'. c = 15 Simplifying c = 15
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