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Simplifying -8z(5x + 5y + 5z) = 0 (5x * -8z + 5y * -8z + 5z * -8z) = 0 (-40xz + -40yz + -40z2) = 0 Solving -40xz + -40yz + -40z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40yz' to each side of the equation. -40xz + -40yz + 40yz + -40z2 = 0 + 40yz Combine like terms: -40yz + 40yz = 0 -40xz + 0 + -40z2 = 0 + 40yz -40xz + -40z2 = 0 + 40yz Remove the zero: -40xz + -40z2 = 40yz Add '40z2' to each side of the equation. -40xz + -40z2 + 40z2 = 40yz + 40z2 Combine like terms: -40z2 + 40z2 = 0 -40xz + 0 = 40yz + 40z2 -40xz = 40yz + 40z2 Divide each side by '-40z'. x = -1y + -1z Simplifying x = -1y + -1z
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