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Simplifying 4w + 3x + -14y + 3w + 10x + 6y = 0 Reorder the terms: 4w + 3w + 3x + 10x + -14y + 6y = 0 Combine like terms: 4w + 3w = 7w 7w + 3x + 10x + -14y + 6y = 0 Combine like terms: 3x + 10x = 13x 7w + 13x + -14y + 6y = 0 Combine like terms: -14y + 6y = -8y 7w + 13x + -8y = 0 Solving 7w + 13x + -8y = 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 + -8y = 0 + -13x Combine like terms: 13x + -13x = 0 7w + 0 + -8y = 0 + -13x 7w + -8y = 0 + -13x Remove the zero: 7w + -8y = -13x Add '8y' to each side of the equation. 7w + -8y + 8y = -13x + 8y Combine like terms: -8y + 8y = 0 7w + 0 = -13x + 8y 7w = -13x + 8y Divide each side by '7'. w = -1.857142857x + 1.142857143y Simplifying w = -1.857142857x + 1.142857143y
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