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Simplifying 7x + -8w + 4x + y + 4y + 5w = 0 Reorder the terms: -8w + 5w + 7x + 4x + y + 4y = 0 Combine like terms: -8w + 5w = -3w -3w + 7x + 4x + y + 4y = 0 Combine like terms: 7x + 4x = 11x -3w + 11x + y + 4y = 0 Combine like terms: y + 4y = 5y -3w + 11x + 5y = 0 Solving -3w + 11x + 5y = 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 + 5y = 0 + -11x Combine like terms: 11x + -11x = 0 -3w + 0 + 5y = 0 + -11x -3w + 5y = 0 + -11x Remove the zero: -3w + 5y = -11x Add '-5y' to each side of the equation. -3w + 5y + -5y = -11x + -5y Combine like terms: 5y + -5y = 0 -3w + 0 = -11x + -5y -3w = -11x + -5y Divide each side by '-3'. w = 3.666666667x + 1.666666667y Simplifying w = 3.666666667x + 1.666666667y
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