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Simplifying 42 + 5c = 9c + -6 Reorder the terms: 42 + 5c = -6 + 9c Solving 42 + 5c = -6 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 42 + 5c + -9c = -6 + 9c + -9c Combine like terms: 5c + -9c = -4c 42 + -4c = -6 + 9c + -9c Combine like terms: 9c + -9c = 0 42 + -4c = -6 + 0 42 + -4c = -6 Add '-42' to each side of the equation. 42 + -42 + -4c = -6 + -42 Combine like terms: 42 + -42 = 0 0 + -4c = -6 + -42 -4c = -6 + -42 Combine like terms: -6 + -42 = -48 -4c = -48 Divide each side by '-4'. c = 12 Simplifying c = 12
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