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Simplifying -3(2z + -7y) + -1z = 0 Reorder the terms: -3(-7y + 2z) + -1z = 0 (-7y * -3 + 2z * -3) + -1z = 0 (21y + -6z) + -1z = 0 Combine like terms: -6z + -1z = -7z 21y + -7z = 0 Solving 21y + -7z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7z' to each side of the equation. 21y + -7z + 7z = 0 + 7z Combine like terms: -7z + 7z = 0 21y + 0 = 0 + 7z 21y = 0 + 7z Remove the zero: 21y = 7z Divide each side by '21'. y = 0.3333333333z Simplifying y = 0.3333333333z
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