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Simplifying 4c + 6 + -7c = 2c + -4 + 1c Reorder the terms: 6 + 4c + -7c = 2c + -4 + 1c Combine like terms: 4c + -7c = -3c 6 + -3c = 2c + -4 + 1c Reorder the terms: 6 + -3c = -4 + 2c + 1c Combine like terms: 2c + 1c = 3c 6 + -3c = -4 + 3c Solving 6 + -3c = -4 + 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. 6 + -3c + -3c = -4 + 3c + -3c Combine like terms: -3c + -3c = -6c 6 + -6c = -4 + 3c + -3c Combine like terms: 3c + -3c = 0 6 + -6c = -4 + 0 6 + -6c = -4 Add '-6' to each side of the equation. 6 + -6 + -6c = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -6c = -4 + -6 -6c = -4 + -6 Combine like terms: -4 + -6 = -10 -6c = -10 Divide each side by '-6'. c = 1.666666667 Simplifying c = 1.666666667
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