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Simplifying -5w + 9x + 3w + 2 + 5x + 6y = 0 Reorder the terms: 2 + -5w + 3w + 9x + 5x + 6y = 0 Combine like terms: -5w + 3w = -2w 2 + -2w + 9x + 5x + 6y = 0 Combine like terms: 9x + 5x = 14x 2 + -2w + 14x + 6y = 0 Solving 2 + -2w + 14x + 6y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2w + 14x + -2 + 6y = 0 + -2 Reorder the terms: 2 + -2 + -2w + 14x + 6y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2w + 14x + 6y = 0 + -2 -2w + 14x + 6y = 0 + -2 Combine like terms: 0 + -2 = -2 -2w + 14x + 6y = -2 Add '-14x' to each side of the equation. -2w + 14x + -14x + 6y = -2 + -14x Combine like terms: 14x + -14x = 0 -2w + 0 + 6y = -2 + -14x -2w + 6y = -2 + -14x Add '-6y' to each side of the equation. -2w + 6y + -6y = -2 + -14x + -6y Combine like terms: 6y + -6y = 0 -2w + 0 = -2 + -14x + -6y -2w = -2 + -14x + -6y Divide each side by '-2'. w = 1 + 7x + 3y Simplifying w = 1 + 7x + 3y
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