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Simplifying -4w + -5(-7x + 4w) + 6x = 0 Reorder the terms: -4w + -5(4w + -7x) + 6x = 0 -4w + (4w * -5 + -7x * -5) + 6x = 0 -4w + (-20w + 35x) + 6x = 0 Combine like terms: -4w + -20w = -24w -24w + 35x + 6x = 0 Combine like terms: 35x + 6x = 41x -24w + 41x = 0 Solving -24w + 41x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-41x' to each side of the equation. -24w + 41x + -41x = 0 + -41x Combine like terms: 41x + -41x = 0 -24w + 0 = 0 + -41x -24w = 0 + -41x Remove the zero: -24w = -41x Divide each side by '-24'. w = 1.708333333x Simplifying w = 1.708333333x
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