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Simplifying 6w + -4(-3x + 2w) + 5x = 0 Reorder the terms: 6w + -4(2w + -3x) + 5x = 0 6w + (2w * -4 + -3x * -4) + 5x = 0 6w + (-8w + 12x) + 5x = 0 Combine like terms: 6w + -8w = -2w -2w + 12x + 5x = 0 Combine like terms: 12x + 5x = 17x -2w + 17x = 0 Solving -2w + 17x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17x' to each side of the equation. -2w + 17x + -17x = 0 + -17x Combine like terms: 17x + -17x = 0 -2w + 0 = 0 + -17x -2w = 0 + -17x Remove the zero: -2w = -17x Divide each side by '-2'. w = 8.5x Simplifying w = 8.5x
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