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Simplifying 2w + -5(-6x + 4w) + 3x = 0 Reorder the terms: 2w + -5(4w + -6x) + 3x = 0 2w + (4w * -5 + -6x * -5) + 3x = 0 2w + (-20w + 30x) + 3x = 0 Combine like terms: 2w + -20w = -18w -18w + 30x + 3x = 0 Combine like terms: 30x + 3x = 33x -18w + 33x = 0 Solving -18w + 33x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-33x' to each side of the equation. -18w + 33x + -33x = 0 + -33x Combine like terms: 33x + -33x = 0 -18w + 0 = 0 + -33x -18w = 0 + -33x Remove the zero: -18w = -33x Divide each side by '-18'. w = 1.833333333x Simplifying w = 1.833333333x
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