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Simplifying 5w + -4(6x + -6w) + 2x = 0 Reorder the terms: 5w + -4(-6w + 6x) + 2x = 0 5w + (-6w * -4 + 6x * -4) + 2x = 0 5w + (24w + -24x) + 2x = 0 Combine like terms: 5w + 24w = 29w 29w + -24x + 2x = 0 Combine like terms: -24x + 2x = -22x 29w + -22x = 0 Solving 29w + -22x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '22x' to each side of the equation. 29w + -22x + 22x = 0 + 22x Combine like terms: -22x + 22x = 0 29w + 0 = 0 + 22x 29w = 0 + 22x Remove the zero: 29w = 22x Divide each side by '29'. w = 0.7586206897x Simplifying w = 0.7586206897x
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