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Simplifying 42 + 3c = -4c + -14 Reorder the terms: 42 + 3c = -14 + -4c Solving 42 + 3c = -14 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 42 + 3c + 4c = -14 + -4c + 4c Combine like terms: 3c + 4c = 7c 42 + 7c = -14 + -4c + 4c Combine like terms: -4c + 4c = 0 42 + 7c = -14 + 0 42 + 7c = -14 Add '-42' to each side of the equation. 42 + -42 + 7c = -14 + -42 Combine like terms: 42 + -42 = 0 0 + 7c = -14 + -42 7c = -14 + -42 Combine like terms: -14 + -42 = -56 7c = -56 Divide each side by '7'. c = -8 Simplifying c = -8
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