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