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Simplifying 6x + 3y + 5k = 0 Reorder the terms: 5k + 6x + 3y = 0 Solving 5k + 6x + 3y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6x' to each side of the equation. 5k + 6x + -6x + 3y = 0 + -6x Combine like terms: 6x + -6x = 0 5k + 0 + 3y = 0 + -6x 5k + 3y = 0 + -6x Remove the zero: 5k + 3y = -6x Add '-3y' to each side of the equation. 5k + 3y + -3y = -6x + -3y Combine like terms: 3y + -3y = 0 5k + 0 = -6x + -3y 5k = -6x + -3y Divide each side by '5'. k = -1.2x + -0.6y Simplifying k = -1.2x + -0.6y
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