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Simplifying 7w + 3y + 10x + 5x + -12y + 4w = 0 Reorder the terms: 7w + 4w + 10x + 5x + 3y + -12y = 0 Combine like terms: 7w + 4w = 11w 11w + 10x + 5x + 3y + -12y = 0 Combine like terms: 10x + 5x = 15x 11w + 15x + 3y + -12y = 0 Combine like terms: 3y + -12y = -9y 11w + 15x + -9y = 0 Solving 11w + 15x + -9y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15x' to each side of the equation. 11w + 15x + -15x + -9y = 0 + -15x Combine like terms: 15x + -15x = 0 11w + 0 + -9y = 0 + -15x 11w + -9y = 0 + -15x Remove the zero: 11w + -9y = -15x Add '9y' to each side of the equation. 11w + -9y + 9y = -15x + 9y Combine like terms: -9y + 9y = 0 11w + 0 = -15x + 9y 11w = -15x + 9y Divide each side by '11'. w = -1.363636364x + 0.8181818182y Simplifying w = -1.363636364x + 0.8181818182y
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