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Simplifying 10x + 7y + 8z + 7w = 32 Reorder the terms: 7w + 10x + 7y + 8z = 32 Solving 7w + 10x + 7y + 8z = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10x' to each side of the equation. 7w + 10x + 7y + -10x + 8z = 32 + -10x Reorder the terms: 7w + 10x + -10x + 7y + 8z = 32 + -10x Combine like terms: 10x + -10x = 0 7w + 0 + 7y + 8z = 32 + -10x 7w + 7y + 8z = 32 + -10x Add '-7y' to each side of the equation. 7w + 7y + -7y + 8z = 32 + -10x + -7y Combine like terms: 7y + -7y = 0 7w + 0 + 8z = 32 + -10x + -7y 7w + 8z = 32 + -10x + -7y Add '-8z' to each side of the equation. 7w + 8z + -8z = 32 + -10x + -7y + -8z Combine like terms: 8z + -8z = 0 7w + 0 = 32 + -10x + -7y + -8z 7w = 32 + -10x + -7y + -8z Divide each side by '7'. w = 4.571428571 + -1.428571429x + -1y + -1.142857143z Simplifying w = 4.571428571 + -1.428571429x + -1y + -1.142857143z
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