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Simplifying kx + -5y + 2z = 6 Solving kx + -5y + 2z = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5y' to each side of the equation. kx + -5y + 5y + 2z = 6 + 5y Combine like terms: -5y + 5y = 0 kx + 0 + 2z = 6 + 5y kx + 2z = 6 + 5y Add '-2z' to each side of the equation. kx + 2z + -2z = 6 + 5y + -2z Combine like terms: 2z + -2z = 0 kx + 0 = 6 + 5y + -2z kx = 6 + 5y + -2z Divide each side by 'x'. k = 6x-1 + 5x-1y + -2x-1z Simplifying k = 6x-1 + 5x-1y + -2x-1z
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