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Simplifying 2w + 7x + -14y + 5w + 8x + 6y = 0 Reorder the terms: 2w + 5w + 7x + 8x + -14y + 6y = 0 Combine like terms: 2w + 5w = 7w 7w + 7x + 8x + -14y + 6y = 0 Combine like terms: 7x + 8x = 15x 7w + 15x + -14y + 6y = 0 Combine like terms: -14y + 6y = -8y 7w + 15x + -8y = 0 Solving 7w + 15x + -8y = 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 + -8y = 0 + -15x Combine like terms: 15x + -15x = 0 7w + 0 + -8y = 0 + -15x 7w + -8y = 0 + -15x Remove the zero: 7w + -8y = -15x Add '8y' to each side of the equation. 7w + -8y + 8y = -15x + 8y Combine like terms: -8y + 8y = 0 7w + 0 = -15x + 8y 7w = -15x + 8y Divide each side by '7'. w = -2.142857143x + 1.142857143y Simplifying w = -2.142857143x + 1.142857143y
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