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Simplifying 3w + 8x + -14y + 4w + 4x + 7y = 0 Reorder the terms: 3w + 4w + 8x + 4x + -14y + 7y = 0 Combine like terms: 3w + 4w = 7w 7w + 8x + 4x + -14y + 7y = 0 Combine like terms: 8x + 4x = 12x 7w + 12x + -14y + 7y = 0 Combine like terms: -14y + 7y = -7y 7w + 12x + -7y = 0 Solving 7w + 12x + -7y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. 7w + 12x + -12x + -7y = 0 + -12x Combine like terms: 12x + -12x = 0 7w + 0 + -7y = 0 + -12x 7w + -7y = 0 + -12x Remove the zero: 7w + -7y = -12x Add '7y' to each side of the equation. 7w + -7y + 7y = -12x + 7y Combine like terms: -7y + 7y = 0 7w + 0 = -12x + 7y 7w = -12x + 7y Divide each side by '7'. w = -1.714285714x + y Simplifying w = -1.714285714x + y
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