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Simplifying 8x + -5w + 4x + 7y + 3y + 3w = 0 Reorder the terms: -5w + 3w + 8x + 4x + 7y + 3y = 0 Combine like terms: -5w + 3w = -2w -2w + 8x + 4x + 7y + 3y = 0 Combine like terms: 8x + 4x = 12x -2w + 12x + 7y + 3y = 0 Combine like terms: 7y + 3y = 10y -2w + 12x + 10y = 0 Solving -2w + 12x + 10y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12x' to each side of the equation. -2w + 12x + -12x + 10y = 0 + -12x Combine like terms: 12x + -12x = 0 -2w + 0 + 10y = 0 + -12x -2w + 10y = 0 + -12x Remove the zero: -2w + 10y = -12x Add '-10y' to each side of the equation. -2w + 10y + -10y = -12x + -10y Combine like terms: 10y + -10y = 0 -2w + 0 = -12x + -10y -2w = -12x + -10y Divide each side by '-2'. w = 6x + 5y Simplifying w = 6x + 5y
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