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Simplifying 2x + 6x + -8x + 4y + 3y + -7y + -3z + 2z + 4z = 0 Combine like terms: 2x + 6x = 8x 8x + -8x + 4y + 3y + -7y + -3z + 2z + 4z = 0 Combine like terms: 8x + -8x = 0 0 + 4y + 3y + -7y + -3z + 2z + 4z = 0 4y + 3y + -7y + -3z + 2z + 4z = 0 Combine like terms: 4y + 3y = 7y 7y + -7y + -3z + 2z + 4z = 0 Combine like terms: 7y + -7y = 0 0 + -3z + 2z + 4z = 0 -3z + 2z + 4z = 0 Combine like terms: -3z + 2z = -1z -1z + 4z = 0 Combine like terms: -1z + 4z = 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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