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Simplifying -1x + 3y + (k + -3) * z = 0 Reorder the terms: -1x + 3y + (-3 + k) * z = 0 Reorder the terms for easier multiplication: -1x + 3y + z(-3 + k) = 0 -1x + 3y + (-3 * z + k * z) = 0 Reorder the terms: -1x + 3y + (kz + -3z) = 0 -1x + 3y + (kz + -3z) = 0 Reorder the terms: kz + -1x + 3y + -3z = 0 Solving kz + -1x + 3y + -3z = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'x' to each side of the equation. kz + -1x + 3y + x + -3z = 0 + x Reorder the terms: kz + -1x + x + 3y + -3z = 0 + x Combine like terms: -1x + x = 0 kz + 0 + 3y + -3z = 0 + x kz + 3y + -3z = 0 + x Remove the zero: kz + 3y + -3z = x Add '-3y' to each side of the equation. kz + 3y + -3y + -3z = x + -3y Combine like terms: 3y + -3y = 0 kz + 0 + -3z = x + -3y kz + -3z = x + -3y Add '3z' to each side of the equation. kz + -3z + 3z = x + -3y + 3z Combine like terms: -3z + 3z = 0 kz + 0 = x + -3y + 3z kz = x + -3y + 3z Divide each side by 'z'. k = xz-1 + -3yz-1 + 3 Simplifying k = xz-1 + -3yz-1 + 3 Reorder the terms: k = 3 + xz-1 + -3yz-1
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