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Simplifying 4w + -3x + -1y + 3w + 15x + -4y = 0 Reorder the terms: 4w + 3w + -3x + 15x + -1y + -4y = 0 Combine like terms: 4w + 3w = 7w 7w + -3x + 15x + -1y + -4y = 0 Combine like terms: -3x + 15x = 12x 7w + 12x + -1y + -4y = 0 Combine like terms: -1y + -4y = -5y 7w + 12x + -5y = 0 Solving 7w + 12x + -5y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. 7w + 12x + -12x + -5y = 0 + -12x Combine like terms: 12x + -12x = 0 7w + 0 + -5y = 0 + -12x 7w + -5y = 0 + -12x Remove the zero: 7w + -5y = -12x Add '5y' to each side of the equation. 7w + -5y + 5y = -12x + 5y Combine like terms: -5y + 5y = 0 7w + 0 = -12x + 5y 7w = -12x + 5y Divide each side by '7'. w = -1.714285714x + 0.7142857143y Simplifying w = -1.714285714x + 0.7142857143y
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