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Simplifying 9x + -5w + 3y + 2w + 5x + 7y = 0 Reorder the terms: -5w + 2w + 9x + 5x + 3y + 7y = 0 Combine like terms: -5w + 2w = -3w -3w + 9x + 5x + 3y + 7y = 0 Combine like terms: 9x + 5x = 14x -3w + 14x + 3y + 7y = 0 Combine like terms: 3y + 7y = 10y -3w + 14x + 10y = 0 Solving -3w + 14x + 10y = 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 + 10y = 0 + -14x Combine like terms: 14x + -14x = 0 -3w + 0 + 10y = 0 + -14x -3w + 10y = 0 + -14x Remove the zero: -3w + 10y = -14x Add '-10y' to each side of the equation. -3w + 10y + -10y = -14x + -10y Combine like terms: 10y + -10y = 0 -3w + 0 = -14x + -10y -3w = -14x + -10y Divide each side by '-3'. w = 4.666666667x + 3.333333333y Simplifying w = 4.666666667x + 3.333333333y
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