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Simplifying 4w + 9x + 14y + 4w + 6x + -5y = 0 Reorder the terms: 4w + 4w + 9x + 6x + 14y + -5y = 0 Combine like terms: 4w + 4w = 8w 8w + 9x + 6x + 14y + -5y = 0 Combine like terms: 9x + 6x = 15x 8w + 15x + 14y + -5y = 0 Combine like terms: 14y + -5y = 9y 8w + 15x + 9y = 0 Solving 8w + 15x + 9y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15x' to each side of the equation. 8w + 15x + -15x + 9y = 0 + -15x Combine like terms: 15x + -15x = 0 8w + 0 + 9y = 0 + -15x 8w + 9y = 0 + -15x Remove the zero: 8w + 9y = -15x Add '-9y' to each side of the equation. 8w + 9y + -9y = -15x + -9y Combine like terms: 9y + -9y = 0 8w + 0 = -15x + -9y 8w = -15x + -9y Divide each side by '8'. w = -1.875x + -1.125y Simplifying w = -1.875x + -1.125y
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