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Simplifying 4w + 9x + -15y + 4w + 5x + 6y = 0 Reorder the terms: 4w + 4w + 9x + 5x + -15y + 6y = 0 Combine like terms: 4w + 4w = 8w 8w + 9x + 5x + -15y + 6y = 0 Combine like terms: 9x + 5x = 14x 8w + 14x + -15y + 6y = 0 Combine like terms: -15y + 6y = -9y 8w + 14x + -9y = 0 Solving 8w + 14x + -9y = 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 + -9y = 0 + -14x Combine like terms: 14x + -14x = 0 8w + 0 + -9y = 0 + -14x 8w + -9y = 0 + -14x Remove the zero: 8w + -9y = -14x Add '9y' to each side of the equation. 8w + -9y + 9y = -14x + 9y Combine like terms: -9y + 9y = 0 8w + 0 = -14x + 9y 8w = -14x + 9y Divide each side by '8'. w = -1.75x + 1.125y Simplifying w = -1.75x + 1.125y
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