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Simplifying 4x + -3y + 10w + 2y + -2w + 9x = 0 Reorder the terms: 10w + -2w + 4x + 9x + -3y + 2y = 0 Combine like terms: 10w + -2w = 8w 8w + 4x + 9x + -3y + 2y = 0 Combine like terms: 4x + 9x = 13x 8w + 13x + -3y + 2y = 0 Combine like terms: -3y + 2y = -1y 8w + 13x + -1y = 0 Solving 8w + 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. 8w + 13x + -13x + -1y = 0 + -13x Combine like terms: 13x + -13x = 0 8w + 0 + -1y = 0 + -13x 8w + -1y = 0 + -13x Remove the zero: 8w + -1y = -13x Add 'y' to each side of the equation. 8w + -1y + y = -13x + y Combine like terms: -1y + y = 0 8w + 0 = -13x + y 8w = -13x + y Divide each side by '8'. w = -1.625x + 0.125y Simplifying w = -1.625x + 0.125y
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