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Simplifying 7 + 11w = 7w + 19 Reorder the terms: 7 + 11w = 19 + 7w Solving 7 + 11w = 19 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 7 + 11w + -7w = 19 + 7w + -7w Combine like terms: 11w + -7w = 4w 7 + 4w = 19 + 7w + -7w Combine like terms: 7w + -7w = 0 7 + 4w = 19 + 0 7 + 4w = 19 Add '-7' to each side of the equation. 7 + -7 + 4w = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 4w = 19 + -7 4w = 19 + -7 Combine like terms: 19 + -7 = 12 4w = 12 Divide each side by '4'. w = 3 Simplifying w = 3
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