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Simplifying 8w + -19 + 3w = 4w + 30 Reorder the terms: -19 + 8w + 3w = 4w + 30 Combine like terms: 8w + 3w = 11w -19 + 11w = 4w + 30 Reorder the terms: -19 + 11w = 30 + 4w Solving -19 + 11w = 30 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -19 + 11w + -4w = 30 + 4w + -4w Combine like terms: 11w + -4w = 7w -19 + 7w = 30 + 4w + -4w Combine like terms: 4w + -4w = 0 -19 + 7w = 30 + 0 -19 + 7w = 30 Add '19' to each side of the equation. -19 + 19 + 7w = 30 + 19 Combine like terms: -19 + 19 = 0 0 + 7w = 30 + 19 7w = 30 + 19 Combine like terms: 30 + 19 = 49 7w = 49 Divide each side by '7'. w = 7 Simplifying w = 7
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