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Simplifying 2w + 6x + -14y + 4w + 7x + -7y = 0 Reorder the terms: 2w + 4w + 6x + 7x + -14y + -7y = 0 Combine like terms: 2w + 4w = 6w 6w + 6x + 7x + -14y + -7y = 0 Combine like terms: 6x + 7x = 13x 6w + 13x + -14y + -7y = 0 Combine like terms: -14y + -7y = -21y 6w + 13x + -21y = 0 Solving 6w + 13x + -21y = 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 + -21y = 0 + -13x Combine like terms: 13x + -13x = 0 6w + 0 + -21y = 0 + -13x 6w + -21y = 0 + -13x Remove the zero: 6w + -21y = -13x Add '21y' to each side of the equation. 6w + -21y + 21y = -13x + 21y Combine like terms: -21y + 21y = 0 6w + 0 = -13x + 21y 6w = -13x + 21y Divide each side by '6'. w = -2.166666667x + 3.5y Simplifying w = -2.166666667x + 3.5y
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