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Simplifying 9x + -6w + 5x + 6y + 2y + 3w = 0 Reorder the terms: -6w + 3w + 9x + 5x + 6y + 2y = 0 Combine like terms: -6w + 3w = -3w -3w + 9x + 5x + 6y + 2y = 0 Combine like terms: 9x + 5x = 14x -3w + 14x + 6y + 2y = 0 Combine like terms: 6y + 2y = 8y -3w + 14x + 8y = 0 Solving -3w + 14x + 8y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14x' to each side of the equation. -3w + 14x + -14x + 8y = 0 + -14x Combine like terms: 14x + -14x = 0 -3w + 0 + 8y = 0 + -14x -3w + 8y = 0 + -14x Remove the zero: -3w + 8y = -14x Add '-8y' to each side of the equation. -3w + 8y + -8y = -14x + -8y Combine like terms: 8y + -8y = 0 -3w + 0 = -14x + -8y -3w = -14x + -8y Divide each side by '-3'. w = 4.666666667x + 2.666666667y Simplifying w = 4.666666667x + 2.666666667y
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