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Simplifying 11x + -2y + 12w + -6y + -2w + 2x = 0 Reorder the terms: 12w + -2w + 11x + 2x + -2y + -6y = 0 Combine like terms: 12w + -2w = 10w 10w + 11x + 2x + -2y + -6y = 0 Combine like terms: 11x + 2x = 13x 10w + 13x + -2y + -6y = 0 Combine like terms: -2y + -6y = -8y 10w + 13x + -8y = 0 Solving 10w + 13x + -8y = 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 + -8y = 0 + -13x Combine like terms: 13x + -13x = 0 10w + 0 + -8y = 0 + -13x 10w + -8y = 0 + -13x Remove the zero: 10w + -8y = -13x Add '8y' to each side of the equation. 10w + -8y + 8y = -13x + 8y Combine like terms: -8y + 8y = 0 10w + 0 = -13x + 8y 10w = -13x + 8y Divide each side by '10'. w = -1.3x + 0.8y Simplifying w = -1.3x + 0.8y
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