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Simplifying 7w + z = 3w + 94 Reorder the terms: 7w + z = 94 + 3w Solving 7w + z = 94 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 7w + -3w + z = 94 + 3w + -3w Combine like terms: 7w + -3w = 4w 4w + z = 94 + 3w + -3w Combine like terms: 3w + -3w = 0 4w + z = 94 + 0 4w + z = 94 Add '-1z' to each side of the equation. 4w + z + -1z = 94 + -1z Combine like terms: z + -1z = 0 4w + 0 = 94 + -1z 4w = 94 + -1z Divide each side by '4'. w = 23.5 + -0.25z Simplifying w = 23.5 + -0.25z
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