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Simplifying 2w + 5x + -14 + 6w + 9x + 7y = 0 Reorder the terms: -14 + 2w + 6w + 5x + 9x + 7y = 0 Combine like terms: 2w + 6w = 8w -14 + 8w + 5x + 9x + 7y = 0 Combine like terms: 5x + 9x = 14x -14 + 8w + 14x + 7y = 0 Solving -14 + 8w + 14x + 7y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 8w + 14x + 14 + 7y = 0 + 14 Reorder the terms: -14 + 14 + 8w + 14x + 7y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 8w + 14x + 7y = 0 + 14 8w + 14x + 7y = 0 + 14 Combine like terms: 0 + 14 = 14 8w + 14x + 7y = 14 Add '-14x' to each side of the equation. 8w + 14x + -14x + 7y = 14 + -14x Combine like terms: 14x + -14x = 0 8w + 0 + 7y = 14 + -14x 8w + 7y = 14 + -14x Add '-7y' to each side of the equation. 8w + 7y + -7y = 14 + -14x + -7y Combine like terms: 7y + -7y = 0 8w + 0 = 14 + -14x + -7y 8w = 14 + -14x + -7y Divide each side by '8'. w = 1.75 + -1.75x + -0.875y Simplifying w = 1.75 + -1.75x + -0.875y
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