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Simplifying 4w + -6x + -1y + 2w + 19x + -5y = 0 Reorder the terms: 4w + 2w + -6x + 19x + -1y + -5y = 0 Combine like terms: 4w + 2w = 6w 6w + -6x + 19x + -1y + -5y = 0 Combine like terms: -6x + 19x = 13x 6w + 13x + -1y + -5y = 0 Combine like terms: -1y + -5y = -6y 6w + 13x + -6y = 0 Solving 6w + 13x + -6y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. 6w + 13x + -13x + -6y = 0 + -13x Combine like terms: 13x + -13x = 0 6w + 0 + -6y = 0 + -13x 6w + -6y = 0 + -13x Remove the zero: 6w + -6y = -13x Add '6y' to each side of the equation. 6w + -6y + 6y = -13x + 6y Combine like terms: -6y + 6y = 0 6w + 0 = -13x + 6y 6w = -13x + 6y Divide each side by '6'. w = -2.166666667x + y Simplifying w = -2.166666667x + y
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