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Simplifying 4w + 3x + -1y + 4w + -14x + -6y = 0 Reorder the terms: 4w + 4w + 3x + -14x + -1y + -6y = 0 Combine like terms: 4w + 4w = 8w 8w + 3x + -14x + -1y + -6y = 0 Combine like terms: 3x + -14x = -11x 8w + -11x + -1y + -6y = 0 Combine like terms: -1y + -6y = -7y 8w + -11x + -7y = 0 Solving 8w + -11x + -7y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11x' to each side of the equation. 8w + -11x + 11x + -7y = 0 + 11x Combine like terms: -11x + 11x = 0 8w + 0 + -7y = 0 + 11x 8w + -7y = 0 + 11x Remove the zero: 8w + -7y = 11x Add '7y' to each side of the equation. 8w + -7y + 7y = 11x + 7y Combine like terms: -7y + 7y = 0 8w + 0 = 11x + 7y 8w = 11x + 7y Divide each side by '8'. w = 1.375x + 0.875y Simplifying w = 1.375x + 0.875y
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