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Simplifying 5w + -3(3x + -2w) + 3x = 0 Reorder the terms: 5w + -3(-2w + 3x) + 3x = 0 5w + (-2w * -3 + 3x * -3) + 3x = 0 5w + (6w + -9x) + 3x = 0 Combine like terms: 5w + 6w = 11w 11w + -9x + 3x = 0 Combine like terms: -9x + 3x = -6x 11w + -6x = 0 Solving 11w + -6x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6x' to each side of the equation. 11w + -6x + 6x = 0 + 6x Combine like terms: -6x + 6x = 0 11w + 0 = 0 + 6x 11w = 0 + 6x Remove the zero: 11w = 6x Divide each side by '11'. w = 0.5454545455x Simplifying w = 0.5454545455x
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