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Simplifying 3w + 3x + 15y + 4w + 12x + -9y = 0 Reorder the terms: 3w + 4w + 3x + 12x + 15y + -9y = 0 Combine like terms: 3w + 4w = 7w 7w + 3x + 12x + 15y + -9y = 0 Combine like terms: 3x + 12x = 15x 7w + 15x + 15y + -9y = 0 Combine like terms: 15y + -9y = 6y 7w + 15x + 6y = 0 Solving 7w + 15x + 6y = 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 + 6y = 0 + -15x Combine like terms: 15x + -15x = 0 7w + 0 + 6y = 0 + -15x 7w + 6y = 0 + -15x Remove the zero: 7w + 6y = -15x Add '-6y' to each side of the equation. 7w + 6y + -6y = -15x + -6y Combine like terms: 6y + -6y = 0 7w + 0 = -15x + -6y 7w = -15x + -6y Divide each side by '7'. w = -2.142857143x + -0.8571428571y Simplifying w = -2.142857143x + -0.8571428571y
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