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Simplifying 4x + -2y + 12w + 4y + -4w + 9x = 0 Reorder the terms: 12w + -4w + 4x + 9x + -2y + 4y = 0 Combine like terms: 12w + -4w = 8w 8w + 4x + 9x + -2y + 4y = 0 Combine like terms: 4x + 9x = 13x 8w + 13x + -2y + 4y = 0 Combine like terms: -2y + 4y = 2y 8w + 13x + 2y = 0 Solving 8w + 13x + 2y = 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 + 2y = 0 + -13x Combine like terms: 13x + -13x = 0 8w + 0 + 2y = 0 + -13x 8w + 2y = 0 + -13x Remove the zero: 8w + 2y = -13x Add '-2y' to each side of the equation. 8w + 2y + -2y = -13x + -2y Combine like terms: 2y + -2y = 0 8w + 0 = -13x + -2y 8w = -13x + -2y Divide each side by '8'. w = -1.625x + -0.25y Simplifying w = -1.625x + -0.25y
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