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Simplifying 5x + -7y + -1z + -5w = -8 Reorder the terms: -5w + 5x + -7y + -1z = -8 Solving -5w + 5x + -7y + -1z = -8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5x' to each side of the equation. -5w + 5x + -7y + -5x + -1z = -8 + -5x Reorder the terms: -5w + 5x + -5x + -7y + -1z = -8 + -5x Combine like terms: 5x + -5x = 0 -5w + 0 + -7y + -1z = -8 + -5x -5w + -7y + -1z = -8 + -5x Add '7y' to each side of the equation. -5w + -7y + 7y + -1z = -8 + -5x + 7y Combine like terms: -7y + 7y = 0 -5w + 0 + -1z = -8 + -5x + 7y -5w + -1z = -8 + -5x + 7y Add 'z' to each side of the equation. -5w + -1z + z = -8 + -5x + 7y + z Combine like terms: -1z + z = 0 -5w + 0 = -8 + -5x + 7y + z -5w = -8 + -5x + 7y + z Divide each side by '-5'. w = 1.6 + x + -1.4y + -0.2z Simplifying w = 1.6 + x + -1.4y + -0.2z
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