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Simplifying 3w + 3y + 5x + 9y + -6x + -5w = 0 Reorder the terms: 3w + -5w + 5x + -6x + 3y + 9y = 0 Combine like terms: 3w + -5w = -2w -2w + 5x + -6x + 3y + 9y = 0 Combine like terms: 5x + -6x = -1x -2w + -1x + 3y + 9y = 0 Combine like terms: 3y + 9y = 12y -2w + -1x + 12y = 0 Solving -2w + -1x + 12y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'x' to each side of the equation. -2w + -1x + x + 12y = 0 + x Combine like terms: -1x + x = 0 -2w + 0 + 12y = 0 + x -2w + 12y = 0 + x Remove the zero: -2w + 12y = x Add '-12y' to each side of the equation. -2w + 12y + -12y = x + -12y Combine like terms: 12y + -12y = 0 -2w + 0 = x + -12y -2w = x + -12y Divide each side by '-2'. w = -0.5x + 6y Simplifying w = -0.5x + 6y
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