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Simplifying 9x + -5w + 4x + 8y + 2y + 2w = 0 Reorder the terms: -5w + 2w + 9x + 4x + 8y + 2y = 0 Combine like terms: -5w + 2w = -3w -3w + 9x + 4x + 8y + 2y = 0 Combine like terms: 9x + 4x = 13x -3w + 13x + 8y + 2y = 0 Combine like terms: 8y + 2y = 10y -3w + 13x + 10y = 0 Solving -3w + 13x + 10y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. -3w + 13x + -13x + 10y = 0 + -13x Combine like terms: 13x + -13x = 0 -3w + 0 + 10y = 0 + -13x -3w + 10y = 0 + -13x Remove the zero: -3w + 10y = -13x Add '-10y' to each side of the equation. -3w + 10y + -10y = -13x + -10y Combine like terms: 10y + -10y = 0 -3w + 0 = -13x + -10y -3w = -13x + -10y Divide each side by '-3'. w = 4.333333333x + 3.333333333y Simplifying w = 4.333333333x + 3.333333333y
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