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Simplifying 5x + -2x + 6y + 5w + -10x + -4y + -7w = 0 Reorder the terms: 5w + -7w + 5x + -2x + -10x + 6y + -4y = 0 Combine like terms: 5w + -7w = -2w -2w + 5x + -2x + -10x + 6y + -4y = 0 Combine like terms: 5x + -2x = 3x -2w + 3x + -10x + 6y + -4y = 0 Combine like terms: 3x + -10x = -7x -2w + -7x + 6y + -4y = 0 Combine like terms: 6y + -4y = 2y -2w + -7x + 2y = 0 Solving -2w + -7x + 2y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7x' to each side of the equation. -2w + -7x + 7x + 2y = 0 + 7x Combine like terms: -7x + 7x = 0 -2w + 0 + 2y = 0 + 7x -2w + 2y = 0 + 7x Remove the zero: -2w + 2y = 7x Add '-2y' to each side of the equation. -2w + 2y + -2y = 7x + -2y Combine like terms: 2y + -2y = 0 -2w + 0 = 7x + -2y -2w = 7x + -2y Divide each side by '-2'. w = -3.5x + y Simplifying w = -3.5x + y
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