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Simplifying 5x + -1y + 10z + 6w = 32 Reorder the terms: 6w + 5x + -1y + 10z = 32 Solving 6w + 5x + -1y + 10z = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5x' to each side of the equation. 6w + 5x + -1y + -5x + 10z = 32 + -5x Reorder the terms: 6w + 5x + -5x + -1y + 10z = 32 + -5x Combine like terms: 5x + -5x = 0 6w + 0 + -1y + 10z = 32 + -5x 6w + -1y + 10z = 32 + -5x Add 'y' to each side of the equation. 6w + -1y + y + 10z = 32 + -5x + y Combine like terms: -1y + y = 0 6w + 0 + 10z = 32 + -5x + y 6w + 10z = 32 + -5x + y Add '-10z' to each side of the equation. 6w + 10z + -10z = 32 + -5x + y + -10z Combine like terms: 10z + -10z = 0 6w + 0 = 32 + -5x + y + -10z 6w = 32 + -5x + y + -10z Divide each side by '6'. w = 5.333333333 + -0.8333333333x + 0.1666666667y + -1.666666667z Simplifying w = 5.333333333 + -0.8333333333x + 0.1666666667y + -1.666666667z
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