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Simplifying 3w + 7x + -13y + 6w + 7x + 6y = 0 Reorder the terms: 3w + 6w + 7x + 7x + -13y + 6y = 0 Combine like terms: 3w + 6w = 9w 9w + 7x + 7x + -13y + 6y = 0 Combine like terms: 7x + 7x = 14x 9w + 14x + -13y + 6y = 0 Combine like terms: -13y + 6y = -7y 9w + 14x + -7y = 0 Solving 9w + 14x + -7y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14x' to each side of the equation. 9w + 14x + -14x + -7y = 0 + -14x Combine like terms: 14x + -14x = 0 9w + 0 + -7y = 0 + -14x 9w + -7y = 0 + -14x Remove the zero: 9w + -7y = -14x Add '7y' to each side of the equation. 9w + -7y + 7y = -14x + 7y Combine like terms: -7y + 7y = 0 9w + 0 = -14x + 7y 9w = -14x + 7y Divide each side by '9'. w = -1.555555556x + 0.7777777778y Simplifying w = -1.555555556x + 0.7777777778y
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