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Simplifying 6(3w + -2x) + -4(2w + -2x) = 0 (3w * 6 + -2x * 6) + -4(2w + -2x) = 0 (18w + -12x) + -4(2w + -2x) = 0 18w + -12x + (2w * -4 + -2x * -4) = 0 18w + -12x + (-8w + 8x) = 0 Reorder the terms: 18w + -8w + -12x + 8x = 0 Combine like terms: 18w + -8w = 10w 10w + -12x + 8x = 0 Combine like terms: -12x + 8x = -4x 10w + -4x = 0 Solving 10w + -4x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4x' to each side of the equation. 10w + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 10w + 0 = 0 + 4x 10w = 0 + 4x Remove the zero: 10w = 4x Divide each side by '10'. w = 0.4x Simplifying w = 0.4x
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