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Simplifying 2w + 3x + 5y + 7z = 21 Solving 2w + 3x + 5y + 7z = 21 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. 2w + 3x + 5y + -3x + 7z = 21 + -3x Reorder the terms: 2w + 3x + -3x + 5y + 7z = 21 + -3x Combine like terms: 3x + -3x = 0 2w + 0 + 5y + 7z = 21 + -3x 2w + 5y + 7z = 21 + -3x Add '-5y' to each side of the equation. 2w + 5y + -5y + 7z = 21 + -3x + -5y Combine like terms: 5y + -5y = 0 2w + 0 + 7z = 21 + -3x + -5y 2w + 7z = 21 + -3x + -5y Add '-7z' to each side of the equation. 2w + 7z + -7z = 21 + -3x + -5y + -7z Combine like terms: 7z + -7z = 0 2w + 0 = 21 + -3x + -5y + -7z 2w = 21 + -3x + -5y + -7z Divide each side by '2'. w = 10.5 + -1.5x + -2.5y + -3.5z Simplifying w = 10.5 + -1.5x + -2.5y + -3.5z
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