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Simplifying 4w + 7y + 5x + 7 + -14y + 4w = 0 Reorder the terms: 7 + 4w + 4w + 5x + 7y + -14y = 0 Combine like terms: 4w + 4w = 8w 7 + 8w + 5x + 7y + -14y = 0 Combine like terms: 7y + -14y = -7y 7 + 8w + 5x + -7y = 0 Solving 7 + 8w + 5x + -7y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 8w + 5x + -7 + -7y = 0 + -7 Reorder the terms: 7 + -7 + 8w + 5x + -7y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8w + 5x + -7y = 0 + -7 8w + 5x + -7y = 0 + -7 Combine like terms: 0 + -7 = -7 8w + 5x + -7y = -7 Add '-5x' to each side of the equation. 8w + 5x + -5x + -7y = -7 + -5x Combine like terms: 5x + -5x = 0 8w + 0 + -7y = -7 + -5x 8w + -7y = -7 + -5x Add '7y' to each side of the equation. 8w + -7y + 7y = -7 + -5x + 7y Combine like terms: -7y + 7y = 0 8w + 0 = -7 + -5x + 7y 8w = -7 + -5x + 7y Divide each side by '8'. w = -0.875 + -0.625x + 0.875y Simplifying w = -0.875 + -0.625x + 0.875y
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