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Simplifying 6(-1w + -3z) + -3(-7z + 5w) = 0 (-1w * 6 + -3z * 6) + -3(-7z + 5w) = 0 (-6w + -18z) + -3(-7z + 5w) = 0 Reorder the terms: -6w + -18z + -3(5w + -7z) = 0 -6w + -18z + (5w * -3 + -7z * -3) = 0 -6w + -18z + (-15w + 21z) = 0 Reorder the terms: -6w + -15w + -18z + 21z = 0 Combine like terms: -6w + -15w = -21w -21w + -18z + 21z = 0 Combine like terms: -18z + 21z = 3z -21w + 3z = 0 Solving -21w + 3z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3z' to each side of the equation. -21w + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 -21w + 0 = 0 + -3z -21w = 0 + -3z Remove the zero: -21w = -3z Divide each side by '-21'. w = 0.1428571429z Simplifying w = 0.1428571429z
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