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Simplifying 10x + -3y + 10w + -2y + -4w + 3x = 0 Reorder the terms: 10w + -4w + 10x + 3x + -3y + -2y = 0 Combine like terms: 10w + -4w = 6w 6w + 10x + 3x + -3y + -2y = 0 Combine like terms: 10x + 3x = 13x 6w + 13x + -3y + -2y = 0 Combine like terms: -3y + -2y = -5y 6w + 13x + -5y = 0 Solving 6w + 13x + -5y = 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. 6w + 13x + -13x + -5y = 0 + -13x Combine like terms: 13x + -13x = 0 6w + 0 + -5y = 0 + -13x 6w + -5y = 0 + -13x Remove the zero: 6w + -5y = -13x Add '5y' to each side of the equation. 6w + -5y + 5y = -13x + 5y Combine like terms: -5y + 5y = 0 6w + 0 = -13x + 5y 6w = -13x + 5y Divide each side by '6'. w = -2.166666667x + 0.8333333333y Simplifying w = -2.166666667x + 0.8333333333y
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