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Simplifying 4w + 9x + -13y + 5w + 3x + 6y = 0 Reorder the terms: 4w + 5w + 9x + 3x + -13y + 6y = 0 Combine like terms: 4w + 5w = 9w 9w + 9x + 3x + -13y + 6y = 0 Combine like terms: 9x + 3x = 12x 9w + 12x + -13y + 6y = 0 Combine like terms: -13y + 6y = -7y 9w + 12x + -7y = 0 Solving 9w + 12x + -7y = 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 + -7y = 0 + -12x Combine like terms: 12x + -12x = 0 9w + 0 + -7y = 0 + -12x 9w + -7y = 0 + -12x Remove the zero: 9w + -7y = -12x Add '7y' to each side of the equation. 9w + -7y + 7y = -12x + 7y Combine like terms: -7y + 7y = 0 9w + 0 = -12x + 7y 9w = -12x + 7y Divide each side by '9'. w = -1.333333333x + 0.7777777778y Simplifying w = -1.333333333x + 0.7777777778y
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