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Simplifying 3w + -2(2x + -3w) + 6x = 0 Reorder the terms: 3w + -2(-3w + 2x) + 6x = 0 3w + (-3w * -2 + 2x * -2) + 6x = 0 3w + (6w + -4x) + 6x = 0 Combine like terms: 3w + 6w = 9w 9w + -4x + 6x = 0 Combine like terms: -4x + 6x = 2x 9w + 2x = 0 Solving 9w + 2x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2x' to each side of the equation. 9w + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 9w + 0 = 0 + -2x 9w = 0 + -2x Remove the zero: 9w = -2x Divide each side by '9'. w = -0.2222222222x Simplifying w = -0.2222222222x
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