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Simplifying -6w + -2(-4x + 5w) + -4x = 0 Reorder the terms: -6w + -2(5w + -4x) + -4x = 0 -6w + (5w * -2 + -4x * -2) + -4x = 0 -6w + (-10w + 8x) + -4x = 0 Combine like terms: -6w + -10w = -16w -16w + 8x + -4x = 0 Combine like terms: 8x + -4x = 4x -16w + 4x = 0 Solving -16w + 4x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4x' to each side of the equation. -16w + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 -16w + 0 = 0 + -4x -16w = 0 + -4x Remove the zero: -16w = -4x Divide each side by '-16'. w = 0.25x Simplifying w = 0.25x
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