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Simplifying 4c + -2 + -1c = 3c + -42 + 6c Reorder the terms: -2 + 4c + -1c = 3c + -42 + 6c Combine like terms: 4c + -1c = 3c -2 + 3c = 3c + -42 + 6c Reorder the terms: -2 + 3c = -42 + 3c + 6c Combine like terms: 3c + 6c = 9c -2 + 3c = -42 + 9c Solving -2 + 3c = -42 + 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. -2 + 3c + -9c = -42 + 9c + -9c Combine like terms: 3c + -9c = -6c -2 + -6c = -42 + 9c + -9c Combine like terms: 9c + -9c = 0 -2 + -6c = -42 + 0 -2 + -6c = -42 Add '2' to each side of the equation. -2 + 2 + -6c = -42 + 2 Combine like terms: -2 + 2 = 0 0 + -6c = -42 + 2 -6c = -42 + 2 Combine like terms: -42 + 2 = -40 -6c = -40 Divide each side by '-6'. c = 6.666666667 Simplifying c = 6.666666667
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