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Simplifying 2w + -2(5x + -3w) + 3x = 0 Reorder the terms: 2w + -2(-3w + 5x) + 3x = 0 2w + (-3w * -2 + 5x * -2) + 3x = 0 2w + (6w + -10x) + 3x = 0 Combine like terms: 2w + 6w = 8w 8w + -10x + 3x = 0 Combine like terms: -10x + 3x = -7x 8w + -7x = 0 Solving 8w + -7x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7x' to each side of the equation. 8w + -7x + 7x = 0 + 7x Combine like terms: -7x + 7x = 0 8w + 0 = 0 + 7x 8w = 0 + 7x Remove the zero: 8w = 7x Divide each side by '8'. w = 0.875x Simplifying w = 0.875x
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