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Simplifying -2(-2w + -1z) + 5(-7z + -5w) = 0 (-2w * -2 + -1z * -2) + 5(-7z + -5w) = 0 (4w + 2z) + 5(-7z + -5w) = 0 Reorder the terms: 4w + 2z + 5(-5w + -7z) = 0 4w + 2z + (-5w * 5 + -7z * 5) = 0 4w + 2z + (-25w + -35z) = 0 Reorder the terms: 4w + -25w + 2z + -35z = 0 Combine like terms: 4w + -25w = -21w -21w + 2z + -35z = 0 Combine like terms: 2z + -35z = -33z -21w + -33z = 0 Solving -21w + -33z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '33z' to each side of the equation. -21w + -33z + 33z = 0 + 33z Combine like terms: -33z + 33z = 0 -21w + 0 = 0 + 33z -21w = 0 + 33z Remove the zero: -21w = 33z Divide each side by '-21'. w = -1.571428571z Simplifying w = -1.571428571z
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