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Simplifying 4x + -3y + 12w + 6y + -2w + 9x = 0 Reorder the terms: 12w + -2w + 4x + 9x + -3y + 6y = 0 Combine like terms: 12w + -2w = 10w 10w + 4x + 9x + -3y + 6y = 0 Combine like terms: 4x + 9x = 13x 10w + 13x + -3y + 6y = 0 Combine like terms: -3y + 6y = 3y 10w + 13x + 3y = 0 Solving 10w + 13x + 3y = 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 + 3y = 0 + -13x Combine like terms: 13x + -13x = 0 10w + 0 + 3y = 0 + -13x 10w + 3y = 0 + -13x Remove the zero: 10w + 3y = -13x Add '-3y' to each side of the equation. 10w + 3y + -3y = -13x + -3y Combine like terms: 3y + -3y = 0 10w + 0 = -13x + -3y 10w = -13x + -3y Divide each side by '10'. w = -1.3x + -0.3y Simplifying w = -1.3x + -0.3y
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