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Simplifying -6w + -6(5x + -4w) + -4x = 0 Reorder the terms: -6w + -6(-4w + 5x) + -4x = 0 -6w + (-4w * -6 + 5x * -6) + -4x = 0 -6w + (24w + -30x) + -4x = 0 Combine like terms: -6w + 24w = 18w 18w + -30x + -4x = 0 Combine like terms: -30x + -4x = -34x 18w + -34x = 0 Solving 18w + -34x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '34x' to each side of the equation. 18w + -34x + 34x = 0 + 34x Combine like terms: -34x + 34x = 0 18w + 0 = 0 + 34x 18w = 0 + 34x Remove the zero: 18w = 34x Divide each side by '18'. w = 1.888888889x Simplifying w = 1.888888889x
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