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Simplifying -6w + -3(-2x + 6w) + -5x = 0 Reorder the terms: -6w + -3(6w + -2x) + -5x = 0 -6w + (6w * -3 + -2x * -3) + -5x = 0 -6w + (-18w + 6x) + -5x = 0 Combine like terms: -6w + -18w = -24w -24w + 6x + -5x = 0 Combine like terms: 6x + -5x = 1x -24w + 1x = 0 Solving -24w + 1x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. -24w + 1x + -1x = 0 + -1x Combine like terms: 1x + -1x = 0 -24w + 0 = 0 + -1x -24w = 0 + -1x Remove the zero: -24w = -1x Divide each side by '-24'. w = 0.04166666667x Simplifying w = 0.04166666667x
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