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Simplifying 5w + -5(6x + -3w) + 6x = 0 Reorder the terms: 5w + -5(-3w + 6x) + 6x = 0 5w + (-3w * -5 + 6x * -5) + 6x = 0 5w + (15w + -30x) + 6x = 0 Combine like terms: 5w + 15w = 20w 20w + -30x + 6x = 0 Combine like terms: -30x + 6x = -24x 20w + -24x = 0 Solving 20w + -24x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24x' to each side of the equation. 20w + -24x + 24x = 0 + 24x Combine like terms: -24x + 24x = 0 20w + 0 = 0 + 24x 20w = 0 + 24x Remove the zero: 20w = 24x Divide each side by '20'. w = 1.2x Simplifying w = 1.2x
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