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Simplifying 8x + -6w + 5x + 7y + 3y + 2w = 0 Reorder the terms: -6w + 2w + 8x + 5x + 7y + 3y = 0 Combine like terms: -6w + 2w = -4w -4w + 8x + 5x + 7y + 3y = 0 Combine like terms: 8x + 5x = 13x -4w + 13x + 7y + 3y = 0 Combine like terms: 7y + 3y = 10y -4w + 13x + 10y = 0 Solving -4w + 13x + 10y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. -4w + 13x + -13x + 10y = 0 + -13x Combine like terms: 13x + -13x = 0 -4w + 0 + 10y = 0 + -13x -4w + 10y = 0 + -13x Remove the zero: -4w + 10y = -13x Add '-10y' to each side of the equation. -4w + 10y + -10y = -13x + -10y Combine like terms: 10y + -10y = 0 -4w + 0 = -13x + -10y -4w = -13x + -10y Divide each side by '-4'. w = 3.25x + 2.5y Simplifying w = 3.25x + 2.5y
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