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Simplifying 3w + 4x + -13y + 4w + 9x + 8y = 0 Reorder the terms: 3w + 4w + 4x + 9x + -13y + 8y = 0 Combine like terms: 3w + 4w = 7w 7w + 4x + 9x + -13y + 8y = 0 Combine like terms: 4x + 9x = 13x 7w + 13x + -13y + 8y = 0 Combine like terms: -13y + 8y = -5y 7w + 13x + -5y = 0 Solving 7w + 13x + -5y = 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. 7w + 13x + -13x + -5y = 0 + -13x Combine like terms: 13x + -13x = 0 7w + 0 + -5y = 0 + -13x 7w + -5y = 0 + -13x Remove the zero: 7w + -5y = -13x Add '5y' to each side of the equation. 7w + -5y + 5y = -13x + 5y Combine like terms: -5y + 5y = 0 7w + 0 = -13x + 5y 7w = -13x + 5y Divide each side by '7'. w = -1.857142857x + 0.7142857143y Simplifying w = -1.857142857x + 0.7142857143y
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