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Simplifying 3x + 2y + 7z + 8w = 235 Reorder the terms: 8w + 3x + 2y + 7z = 235 Solving 8w + 3x + 2y + 7z = 235 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3x' to each side of the equation. 8w + 3x + 2y + -3x + 7z = 235 + -3x Reorder the terms: 8w + 3x + -3x + 2y + 7z = 235 + -3x Combine like terms: 3x + -3x = 0 8w + 0 + 2y + 7z = 235 + -3x 8w + 2y + 7z = 235 + -3x Add '-2y' to each side of the equation. 8w + 2y + -2y + 7z = 235 + -3x + -2y Combine like terms: 2y + -2y = 0 8w + 0 + 7z = 235 + -3x + -2y 8w + 7z = 235 + -3x + -2y Add '-7z' to each side of the equation. 8w + 7z + -7z = 235 + -3x + -2y + -7z Combine like terms: 7z + -7z = 0 8w + 0 = 235 + -3x + -2y + -7z 8w = 235 + -3x + -2y + -7z Divide each side by '8'. w = 29.375 + -0.375x + -0.25y + -0.875z Simplifying w = 29.375 + -0.375x + -0.25y + -0.875z
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