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Simplifying 3w + 5x + -1y + 6w + -17x + -7y = 0 Reorder the terms: 3w + 6w + 5x + -17x + -1y + -7y = 0 Combine like terms: 3w + 6w = 9w 9w + 5x + -17x + -1y + -7y = 0 Combine like terms: 5x + -17x = -12x 9w + -12x + -1y + -7y = 0 Combine like terms: -1y + -7y = -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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