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Simplifying 5(-2w + -3z) + -6(-6z + w) = 0 (-2w * 5 + -3z * 5) + -6(-6z + w) = 0 (-10w + -15z) + -6(-6z + w) = 0 Reorder the terms: -10w + -15z + -6(w + -6z) = 0 -10w + -15z + (w * -6 + -6z * -6) = 0 -10w + -15z + (-6w + 36z) = 0 Reorder the terms: -10w + -6w + -15z + 36z = 0 Combine like terms: -10w + -6w = -16w -16w + -15z + 36z = 0 Combine like terms: -15z + 36z = 21z -16w + 21z = 0 Solving -16w + 21z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21z' to each side of the equation. -16w + 21z + -21z = 0 + -21z Combine like terms: 21z + -21z = 0 -16w + 0 = 0 + -21z -16w = 0 + -21z Remove the zero: -16w = -21z Divide each side by '-16'. w = 1.3125z Simplifying w = 1.3125z
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