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Simplifying 15x + -4y + 3z + -1z + -11x + 5y + -1y + -4x + z = 0 Reorder the terms: 15x + -11x + -4x + -4y + 5y + -1y + 3z + -1z + z = 0 Combine like terms: 15x + -11x = 4x 4x + -4x + -4y + 5y + -1y + 3z + -1z + z = 0 Combine like terms: 4x + -4x = 0 0 + -4y + 5y + -1y + 3z + -1z + z = 0 -4y + 5y + -1y + 3z + -1z + z = 0 Combine like terms: -4y + 5y = 1y 1y + -1y + 3z + -1z + z = 0 Combine like terms: 1y + -1y = 0 0 + 3z + -1z + z = 0 3z + -1z + z = 0 Combine like terms: 3z + -1z = 2z 2z + z = 0 Combine like terms: 2z + z = 3z 3z = 0 Solving 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '3'. z = 0 Simplifying z = 0
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