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Simplifying 4x + 5y + 6z + 7w = -5 Reorder the terms: 7w + 4x + 5y + 6z = -5 Solving 7w + 4x + 5y + 6z = -5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4x' to each side of the equation. 7w + 4x + 5y + -4x + 6z = -5 + -4x Reorder the terms: 7w + 4x + -4x + 5y + 6z = -5 + -4x Combine like terms: 4x + -4x = 0 7w + 0 + 5y + 6z = -5 + -4x 7w + 5y + 6z = -5 + -4x Add '-5y' to each side of the equation. 7w + 5y + -5y + 6z = -5 + -4x + -5y Combine like terms: 5y + -5y = 0 7w + 0 + 6z = -5 + -4x + -5y 7w + 6z = -5 + -4x + -5y Add '-6z' to each side of the equation. 7w + 6z + -6z = -5 + -4x + -5y + -6z Combine like terms: 6z + -6z = 0 7w + 0 = -5 + -4x + -5y + -6z 7w = -5 + -4x + -5y + -6z Divide each side by '7'. w = -0.7142857143 + -0.5714285714x + -0.7142857143y + -0.8571428571z Simplifying w = -0.7142857143 + -0.5714285714x + -0.7142857143y + -0.8571428571z
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