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Simplifying x + 2y + 5z + 10w = 120 Reorder the terms: 10w + x + 2y + 5z = 120 Solving 10w + x + 2y + 5z = 120 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. 10w + x + 2y + -1x + 5z = 120 + -1x Reorder the terms: 10w + x + -1x + 2y + 5z = 120 + -1x Combine like terms: x + -1x = 0 10w + 0 + 2y + 5z = 120 + -1x 10w + 2y + 5z = 120 + -1x Add '-2y' to each side of the equation. 10w + 2y + -2y + 5z = 120 + -1x + -2y Combine like terms: 2y + -2y = 0 10w + 0 + 5z = 120 + -1x + -2y 10w + 5z = 120 + -1x + -2y Add '-5z' to each side of the equation. 10w + 5z + -5z = 120 + -1x + -2y + -5z Combine like terms: 5z + -5z = 0 10w + 0 = 120 + -1x + -2y + -5z 10w = 120 + -1x + -2y + -5z Divide each side by '10'. w = 12 + -0.1x + -0.2y + -0.5z Simplifying w = 12 + -0.1x + -0.2y + -0.5z
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