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Simplifying 2w + -5(7x + -6w) + -3x = 0 Reorder the terms: 2w + -5(-6w + 7x) + -3x = 0 2w + (-6w * -5 + 7x * -5) + -3x = 0 2w + (30w + -35x) + -3x = 0 Combine like terms: 2w + 30w = 32w 32w + -35x + -3x = 0 Combine like terms: -35x + -3x = -38x 32w + -38x = 0 Solving 32w + -38x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '38x' to each side of the equation. 32w + -38x + 38x = 0 + 38x Combine like terms: -38x + 38x = 0 32w + 0 = 0 + 38x 32w = 0 + 38x Remove the zero: 32w = 38x Divide each side by '32'. w = 1.1875x Simplifying w = 1.1875x
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