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Simplifying 2w + -3x + -1y + 8w + 14x + -7y = 0 Reorder the terms: 2w + 8w + -3x + 14x + -1y + -7y = 0 Combine like terms: 2w + 8w = 10w 10w + -3x + 14x + -1y + -7y = 0 Combine like terms: -3x + 14x = 11x 10w + 11x + -1y + -7y = 0 Combine like terms: -1y + -7y = -8y 10w + 11x + -8y = 0 Solving 10w + 11x + -8y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11x' to each side of the equation. 10w + 11x + -11x + -8y = 0 + -11x Combine like terms: 11x + -11x = 0 10w + 0 + -8y = 0 + -11x 10w + -8y = 0 + -11x Remove the zero: 10w + -8y = -11x Add '8y' to each side of the equation. 10w + -8y + 8y = -11x + 8y Combine like terms: -8y + 8y = 0 10w + 0 = -11x + 8y 10w = -11x + 8y Divide each side by '10'. w = -1.1x + 0.8y Simplifying w = -1.1x + 0.8y
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