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Simplifying 3w + 4x + 14y + 3w + 9x + -7y = 0 Reorder the terms: 3w + 3w + 4x + 9x + 14y + -7y = 0 Combine like terms: 3w + 3w = 6w 6w + 4x + 9x + 14y + -7y = 0 Combine like terms: 4x + 9x = 13x 6w + 13x + 14y + -7y = 0 Combine like terms: 14y + -7y = 7y 6w + 13x + 7y = 0 Solving 6w + 13x + 7y = 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 + 7y = 0 + -13x Combine like terms: 13x + -13x = 0 6w + 0 + 7y = 0 + -13x 6w + 7y = 0 + -13x Remove the zero: 6w + 7y = -13x Add '-7y' to each side of the equation. 6w + 7y + -7y = -13x + -7y Combine like terms: 7y + -7y = 0 6w + 0 = -13x + -7y 6w = -13x + -7y Divide each side by '6'. w = -2.166666667x + -1.166666667y Simplifying w = -2.166666667x + -1.166666667y
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