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Simplifying 30 + 12 = c + -42 Combine like terms: 30 + 12 = 42 42 = c + -42 Reorder the terms: 42 = -42 + c Solving 42 = -42 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 42 + -1c = -42 + c + -1c Combine like terms: c + -1c = 0 42 + -1c = -42 + 0 42 + -1c = -42 Add '-42' to each side of the equation. 42 + -42 + -1c = -42 + -42 Combine like terms: 42 + -42 = 0 0 + -1c = -42 + -42 -1c = -42 + -42 Combine like terms: -42 + -42 = -84 -1c = -84 Divide each side by '-1'. c = 84 Simplifying c = 84
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