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Simplifying 2w + -1z = 8w + y Solving 2w + -1z = 8w + y Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 2w + -8w + -1z = 8w + -8w + y Combine like terms: 2w + -8w = -6w -6w + -1z = 8w + -8w + y Combine like terms: 8w + -8w = 0 -6w + -1z = 0 + y -6w + -1z = y Add 'z' to each side of the equation. -6w + -1z + z = y + z Combine like terms: -1z + z = 0 -6w + 0 = y + z -6w = y + z Divide each side by '-6'. w = -0.1666666667y + -0.1666666667z Simplifying w = -0.1666666667y + -0.1666666667z
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