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Simplifying 4x + -2y + 13w + 3y + -3w + 9x = 0 Reorder the terms: 13w + -3w + 4x + 9x + -2y + 3y = 0 Combine like terms: 13w + -3w = 10w 10w + 4x + 9x + -2y + 3y = 0 Combine like terms: 4x + 9x = 13x 10w + 13x + -2y + 3y = 0 Combine like terms: -2y + 3y = 1y 10w + 13x + 1y = 0 Solving 10w + 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. 10w + 13x + -13x + 1y = 0 + -13x Combine like terms: 13x + -13x = 0 10w + 0 + 1y = 0 + -13x 10w + 1y = 0 + -13x Remove the zero: 10w + 1y = -13x Add '-1y' to each side of the equation. 10w + 1y + -1y = -13x + -1y Combine like terms: 1y + -1y = 0 10w + 0 = -13x + -1y 10w = -13x + -1y Divide each side by '10'. w = -1.3x + -0.1y Simplifying w = -1.3x + -0.1y
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