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Simplifying 4w + 7x + -15y + 4w + 7x + 7y = 0 Reorder the terms: 4w + 4w + 7x + 7x + -15y + 7y = 0 Combine like terms: 4w + 4w = 8w 8w + 7x + 7x + -15y + 7y = 0 Combine like terms: 7x + 7x = 14x 8w + 14x + -15y + 7y = 0 Combine like terms: -15y + 7y = -8y 8w + 14x + -8y = 0 Solving 8w + 14x + -8y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14x' to each side of the equation. 8w + 14x + -14x + -8y = 0 + -14x Combine like terms: 14x + -14x = 0 8w + 0 + -8y = 0 + -14x 8w + -8y = 0 + -14x Remove the zero: 8w + -8y = -14x Add '8y' to each side of the equation. 8w + -8y + 8y = -14x + 8y Combine like terms: -8y + 8y = 0 8w + 0 = -14x + 8y 8w = -14x + 8y Divide each side by '8'. w = -1.75x + y Simplifying w = -1.75x + y
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