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Simplifying 10x + -2y + 13w + -7y + -3w + 2x = 0 Reorder the terms: 13w + -3w + 10x + 2x + -2y + -7y = 0 Combine like terms: 13w + -3w = 10w 10w + 10x + 2x + -2y + -7y = 0 Combine like terms: 10x + 2x = 12x 10w + 12x + -2y + -7y = 0 Combine like terms: -2y + -7y = -9y 10w + 12x + -9y = 0 Solving 10w + 12x + -9y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. 10w + 12x + -12x + -9y = 0 + -12x Combine like terms: 12x + -12x = 0 10w + 0 + -9y = 0 + -12x 10w + -9y = 0 + -12x Remove the zero: 10w + -9y = -12x Add '9y' to each side of the equation. 10w + -9y + 9y = -12x + 9y Combine like terms: -9y + 9y = 0 10w + 0 = -12x + 9y 10w = -12x + 9y Divide each side by '10'. w = -1.2x + 0.9y Simplifying w = -1.2x + 0.9y
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