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Simplifying -2w + -2(-5x + 2w) + -3x = 0 Reorder the terms: -2w + -2(2w + -5x) + -3x = 0 -2w + (2w * -2 + -5x * -2) + -3x = 0 -2w + (-4w + 10x) + -3x = 0 Combine like terms: -2w + -4w = -6w -6w + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x -6w + 7x = 0 Solving -6w + 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. -6w + 7x + -7x = 0 + -7x Combine like terms: 7x + -7x = 0 -6w + 0 = 0 + -7x -6w = 0 + -7x Remove the zero: -6w = -7x Divide each side by '-6'. w = 1.166666667x Simplifying w = 1.166666667x
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