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Simplifying 5(-1w + -2z) + -6(-7z + 5w) = 0 (-1w * 5 + -2z * 5) + -6(-7z + 5w) = 0 (-5w + -10z) + -6(-7z + 5w) = 0 Reorder the terms: -5w + -10z + -6(5w + -7z) = 0 -5w + -10z + (5w * -6 + -7z * -6) = 0 -5w + -10z + (-30w + 42z) = 0 Reorder the terms: -5w + -30w + -10z + 42z = 0 Combine like terms: -5w + -30w = -35w -35w + -10z + 42z = 0 Combine like terms: -10z + 42z = 32z -35w + 32z = 0 Solving -35w + 32z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32z' to each side of the equation. -35w + 32z + -32z = 0 + -32z Combine like terms: 32z + -32z = 0 -35w + 0 = 0 + -32z -35w = 0 + -32z Remove the zero: -35w = -32z Divide each side by '-35'. w = 0.9142857143z Simplifying w = 0.9142857143z
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