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Simplifying 9x + -3y + 12w + 4y + 5w + 4x = 0 Reorder the terms: 12w + 5w + 9x + 4x + -3y + 4y = 0 Combine like terms: 12w + 5w = 17w 17w + 9x + 4x + -3y + 4y = 0 Combine like terms: 9x + 4x = 13x 17w + 13x + -3y + 4y = 0 Combine like terms: -3y + 4y = 1y 17w + 13x + 1y = 0 Solving 17w + 13x + 1y = 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. 17w + 13x + -13x + 1y = 0 + -13x Combine like terms: 13x + -13x = 0 17w + 0 + 1y = 0 + -13x 17w + 1y = 0 + -13x Remove the zero: 17w + 1y = -13x Add '-1y' to each side of the equation. 17w + 1y + -1y = -13x + -1y Combine like terms: 1y + -1y = 0 17w + 0 = -13x + -1y 17w = -13x + -1y Divide each side by '17'. w = -0.7647058824x + -0.05882352941y Simplifying w = -0.7647058824x + -0.05882352941y
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