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Simplifying 5w + -3(4x + -2w) + 3x = 0 Reorder the terms: 5w + -3(-2w + 4x) + 3x = 0 5w + (-2w * -3 + 4x * -3) + 3x = 0 5w + (6w + -12x) + 3x = 0 Combine like terms: 5w + 6w = 11w 11w + -12x + 3x = 0 Combine like terms: -12x + 3x = -9x 11w + -9x = 0 Solving 11w + -9x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9x' to each side of the equation. 11w + -9x + 9x = 0 + 9x Combine like terms: -9x + 9x = 0 11w + 0 = 0 + 9x 11w = 0 + 9x Remove the zero: 11w = 9x Divide each side by '11'. w = 0.8181818182x Simplifying w = 0.8181818182x
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