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Simplifying 8x + -5w + 4y + 3w + 2x + 8y = 0 Reorder the terms: -5w + 3w + 8x + 2x + 4y + 8y = 0 Combine like terms: -5w + 3w = -2w -2w + 8x + 2x + 4y + 8y = 0 Combine like terms: 8x + 2x = 10x -2w + 10x + 4y + 8y = 0 Combine like terms: 4y + 8y = 12y -2w + 10x + 12y = 0 Solving -2w + 10x + 12y = 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 + 12y = 0 + -10x Combine like terms: 10x + -10x = 0 -2w + 0 + 12y = 0 + -10x -2w + 12y = 0 + -10x Remove the zero: -2w + 12y = -10x Add '-12y' to each side of the equation. -2w + 12y + -12y = -10x + -12y Combine like terms: 12y + -12y = 0 -2w + 0 = -10x + -12y -2w = -10x + -12y Divide each side by '-2'. w = 5x + 6y Simplifying w = 5x + 6y
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