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Simplifying 3(w + x) + 4(2w + 3x) = 0 (w * 3 + x * 3) + 4(2w + 3x) = 0 (3w + 3x) + 4(2w + 3x) = 0 3w + 3x + (2w * 4 + 3x * 4) = 0 3w + 3x + (8w + 12x) = 0 Reorder the terms: 3w + 8w + 3x + 12x = 0 Combine like terms: 3w + 8w = 11w 11w + 3x + 12x = 0 Combine like terms: 3x + 12x = 15x 11w + 15x = 0 Solving 11w + 15x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15x' to each side of the equation. 11w + 15x + -15x = 0 + -15x Combine like terms: 15x + -15x = 0 11w + 0 = 0 + -15x 11w = 0 + -15x Remove the zero: 11w = -15x Divide each side by '11'. w = -1.363636364x Simplifying w = -1.363636364x
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