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Simplifying 8x + -3y + 13w + -5y + -4w + 4x = 0 Reorder the terms: 13w + -4w + 8x + 4x + -3y + -5y = 0 Combine like terms: 13w + -4w = 9w 9w + 8x + 4x + -3y + -5y = 0 Combine like terms: 8x + 4x = 12x 9w + 12x + -3y + -5y = 0 Combine like terms: -3y + -5y = -8y 9w + 12x + -8y = 0 Solving 9w + 12x + -8y = 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. 9w + 12x + -12x + -8y = 0 + -12x Combine like terms: 12x + -12x = 0 9w + 0 + -8y = 0 + -12x 9w + -8y = 0 + -12x Remove the zero: 9w + -8y = -12x Add '8y' to each side of the equation. 9w + -8y + 8y = -12x + 8y Combine like terms: -8y + 8y = 0 9w + 0 = -12x + 8y 9w = -12x + 8y Divide each side by '9'. w = -1.333333333x + 0.8888888889y Simplifying w = -1.333333333x + 0.8888888889y
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