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Simplifying 2w + 5x + -1y + 8w + -19x + -7x = 0 Reorder the terms: 2w + 8w + 5x + -19x + -7x + -1y = 0 Combine like terms: 2w + 8w = 10w 10w + 5x + -19x + -7x + -1y = 0 Combine like terms: 5x + -19x = -14x 10w + -14x + -7x + -1y = 0 Combine like terms: -14x + -7x = -21x 10w + -21x + -1y = 0 Solving 10w + -21x + -1y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '21x' to each side of the equation. 10w + -21x + 21x + -1y = 0 + 21x Combine like terms: -21x + 21x = 0 10w + 0 + -1y = 0 + 21x 10w + -1y = 0 + 21x Remove the zero: 10w + -1y = 21x Add 'y' to each side of the equation. 10w + -1y + y = 21x + y Combine like terms: -1y + y = 0 10w + 0 = 21x + y 10w = 21x + y Divide each side by '10'. w = 2.1x + 0.1y Simplifying w = 2.1x + 0.1y
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