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Simplifying 6x + 9y + 2c + -3y = 0 Reorder the terms: 2c + 6x + 9y + -3y = 0 Combine like terms: 9y + -3y = 6y 2c + 6x + 6y = 0 Solving 2c + 6x + 6y = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6x' to each side of the equation. 2c + 6x + -6x + 6y = 0 + -6x Combine like terms: 6x + -6x = 0 2c + 0 + 6y = 0 + -6x 2c + 6y = 0 + -6x Remove the zero: 2c + 6y = -6x Add '-6y' to each side of the equation. 2c + 6y + -6y = -6x + -6y Combine like terms: 6y + -6y = 0 2c + 0 = -6x + -6y 2c = -6x + -6y Divide each side by '2'. c = -3x + -3y Simplifying c = -3x + -3y
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