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Simplifying (8x + -8w) + (2x + 9y) + (4y + 4w) = 0 Reorder the terms: (-8w + 8x) + (2x + 9y) + (4y + 4w) = 0 Remove parenthesis around (-8w + 8x) -8w + 8x + (2x + 9y) + (4y + 4w) = 0 Remove parenthesis around (2x + 9y) -8w + 8x + 2x + 9y + (4y + 4w) = 0 Reorder the terms: -8w + 8x + 2x + 9y + (4w + 4y) = 0 Remove parenthesis around (4w + 4y) -8w + 8x + 2x + 9y + 4w + 4y = 0 Reorder the terms: -8w + 4w + 8x + 2x + 9y + 4y = 0 Combine like terms: -8w + 4w = -4w -4w + 8x + 2x + 9y + 4y = 0 Combine like terms: 8x + 2x = 10x -4w + 10x + 9y + 4y = 0 Combine like terms: 9y + 4y = 13y -4w + 10x + 13y = 0 Solving -4w + 10x + 13y = 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. -4w + 10x + -10x + 13y = 0 + -10x Combine like terms: 10x + -10x = 0 -4w + 0 + 13y = 0 + -10x -4w + 13y = 0 + -10x Remove the zero: -4w + 13y = -10x Add '-13y' to each side of the equation. -4w + 13y + -13y = -10x + -13y Combine like terms: 13y + -13y = 0 -4w + 0 = -10x + -13y -4w = -10x + -13y Divide each side by '-4'. w = 2.5x + 3.25y Simplifying w = 2.5x + 3.25y
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