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Simplifying 8x + -7w + -4y + 5w + 2x + 6y = 0 Reorder the terms: -7w + 5w + 8x + 2x + -4y + 6y = 0 Combine like terms: -7w + 5w = -2w -2w + 8x + 2x + -4y + 6y = 0 Combine like terms: 8x + 2x = 10x -2w + 10x + -4y + 6y = 0 Combine like terms: -4y + 6y = 2y -2w + 10x + 2y = 0 Solving -2w + 10x + 2y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10x' to each side of the equation. -2w + 10x + -10x + 2y = 0 + -10x Combine like terms: 10x + -10x = 0 -2w + 0 + 2y = 0 + -10x -2w + 2y = 0 + -10x Remove the zero: -2w + 2y = -10x Add '-2y' to each side of the equation. -2w + 2y + -2y = -10x + -2y Combine like terms: 2y + -2y = 0 -2w + 0 = -10x + -2y -2w = -10x + -2y Divide each side by '-2'. w = 5x + y Simplifying w = 5x + y
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