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Simplifying 7x + -3y + 15w + -3y + -6w + 5x = 0 Reorder the terms: 15w + -6w + 7x + 5x + -3y + -3y = 0 Combine like terms: 15w + -6w = 9w 9w + 7x + 5x + -3y + -3y = 0 Combine like terms: 7x + 5x = 12x 9w + 12x + -3y + -3y = 0 Combine like terms: -3y + -3y = -6y 9w + 12x + -6y = 0 Solving 9w + 12x + -6y = 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 + -6y = 0 + -12x Combine like terms: 12x + -12x = 0 9w + 0 + -6y = 0 + -12x 9w + -6y = 0 + -12x Remove the zero: 9w + -6y = -12x Add '6y' to each side of the equation. 9w + -6y + 6y = -12x + 6y Combine like terms: -6y + 6y = 0 9w + 0 = -12x + 6y 9w = -12x + 6y Divide each side by '9'. w = -1.333333333x + 0.6666666667y Simplifying w = -1.333333333x + 0.6666666667y
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