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Simplifying (3y + -9z)(-7) = 0 Reorder the terms for easier multiplication: -7(3y + -9z) = 0 (3y * -7 + -9z * -7) = 0 (-21y + 63z) = 0 Solving -21y + 63z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-63z' to each side of the equation. -21y + 63z + -63z = 0 + -63z Combine like terms: 63z + -63z = 0 -21y + 0 = 0 + -63z -21y = 0 + -63z Remove the zero: -21y = -63z Divide each side by '-21'. y = 3z Simplifying y = 3z
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