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Simplifying 7w + 22 = w + 4 Reorder the terms: 22 + 7w = w + 4 Reorder the terms: 22 + 7w = 4 + w Solving 22 + 7w = 4 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 22 + 7w + -1w = 4 + w + -1w Combine like terms: 7w + -1w = 6w 22 + 6w = 4 + w + -1w Combine like terms: w + -1w = 0 22 + 6w = 4 + 0 22 + 6w = 4 Add '-22' to each side of the equation. 22 + -22 + 6w = 4 + -22 Combine like terms: 22 + -22 = 0 0 + 6w = 4 + -22 6w = 4 + -22 Combine like terms: 4 + -22 = -18 6w = -18 Divide each side by '6'. w = -3 Simplifying w = -3
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