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Simplifying 8x + -5w + 3x + 6y + 5y + 2w = 0 Reorder the terms: -5w + 2w + 8x + 3x + 6y + 5y = 0 Combine like terms: -5w + 2w = -3w -3w + 8x + 3x + 6y + 5y = 0 Combine like terms: 8x + 3x = 11x -3w + 11x + 6y + 5y = 0 Combine like terms: 6y + 5y = 11y -3w + 11x + 11y = 0 Solving -3w + 11x + 11y = 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. -3w + 11x + -11x + 11y = 0 + -11x Combine like terms: 11x + -11x = 0 -3w + 0 + 11y = 0 + -11x -3w + 11y = 0 + -11x Remove the zero: -3w + 11y = -11x Add '-11y' to each side of the equation. -3w + 11y + -11y = -11x + -11y Combine like terms: 11y + -11y = 0 -3w + 0 = -11x + -11y -3w = -11x + -11y Divide each side by '-3'. w = 3.666666667x + 3.666666667y Simplifying w = 3.666666667x + 3.666666667y
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