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Simplifying 3w + 2x + -1y + 7w + -14x + -8y = 0 Reorder the terms: 3w + 7w + 2x + -14x + -1y + -8y = 0 Combine like terms: 3w + 7w = 10w 10w + 2x + -14x + -1y + -8y = 0 Combine like terms: 2x + -14x = -12x 10w + -12x + -1y + -8y = 0 Combine like terms: -1y + -8y = -9y 10w + -12x + -9y = 0 Solving 10w + -12x + -9y = 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. 10w + -12x + 12x + -9y = 0 + 12x Combine like terms: -12x + 12x = 0 10w + 0 + -9y = 0 + 12x 10w + -9y = 0 + 12x Remove the zero: 10w + -9y = 12x Add '9y' to each side of the equation. 10w + -9y + 9y = 12x + 9y Combine like terms: -9y + 9y = 0 10w + 0 = 12x + 9y 10w = 12x + 9y Divide each side by '10'. w = 1.2x + 0.9y Simplifying w = 1.2x + 0.9y
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