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Simplifying 6x + -4w + 4x + 9y + 4y + 2w = 0 Reorder the terms: -4w + 2w + 6x + 4x + 9y + 4y = 0 Combine like terms: -4w + 2w = -2w -2w + 6x + 4x + 9y + 4y = 0 Combine like terms: 6x + 4x = 10x -2w + 10x + 9y + 4y = 0 Combine like terms: 9y + 4y = 13y -2w + 10x + 13y = 0 Solving -2w + 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. -2w + 10x + -10x + 13y = 0 + -10x Combine like terms: 10x + -10x = 0 -2w + 0 + 13y = 0 + -10x -2w + 13y = 0 + -10x Remove the zero: -2w + 13y = -10x Add '-13y' to each side of the equation. -2w + 13y + -13y = -10x + -13y Combine like terms: 13y + -13y = 0 -2w + 0 = -10x + -13y -2w = -10x + -13y Divide each side by '-2'. w = 5x + 6.5y Simplifying w = 5x + 6.5y
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