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Simplifying 4w + 9x + -14y + 3w + 6x + 5y = 0 Reorder the terms: 4w + 3w + 9x + 6x + -14y + 5y = 0 Combine like terms: 4w + 3w = 7w 7w + 9x + 6x + -14y + 5y = 0 Combine like terms: 9x + 6x = 15x 7w + 15x + -14y + 5y = 0 Combine like terms: -14y + 5y = -9y 7w + 15x + -9y = 0 Solving 7w + 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. 7w + 15x + -15x + -9y = 0 + -15x Combine like terms: 15x + -15x = 0 7w + 0 + -9y = 0 + -15x 7w + -9y = 0 + -15x Remove the zero: 7w + -9y = -15x Add '9y' to each side of the equation. 7w + -9y + 9y = -15x + 9y Combine like terms: -9y + 9y = 0 7w + 0 = -15x + 9y 7w = -15x + 9y Divide each side by '7'. w = -2.142857143x + 1.285714286y Simplifying w = -2.142857143x + 1.285714286y
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