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Simplifying 6x + -7w + 5x + 8y + 2y + 3w = 0 Reorder the terms: -7w + 3w + 6x + 5x + 8y + 2y = 0 Combine like terms: -7w + 3w = -4w -4w + 6x + 5x + 8y + 2y = 0 Combine like terms: 6x + 5x = 11x -4w + 11x + 8y + 2y = 0 Combine like terms: 8y + 2y = 10y -4w + 11x + 10y = 0 Solving -4w + 11x + 10y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11x' to each side of the equation. -4w + 11x + -11x + 10y = 0 + -11x Combine like terms: 11x + -11x = 0 -4w + 0 + 10y = 0 + -11x -4w + 10y = 0 + -11x Remove the zero: -4w + 10y = -11x Add '-10y' to each side of the equation. -4w + 10y + -10y = -11x + -10y Combine like terms: 10y + -10y = 0 -4w + 0 = -11x + -10y -4w = -11x + -10y Divide each side by '-4'. w = 2.75x + 2.5y Simplifying w = 2.75x + 2.5y
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