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Simplifying 7w + -19 = 6 + 3w + -1 Reorder the terms: -19 + 7w = 6 + 3w + -1 Reorder the terms: -19 + 7w = 6 + -1 + 3w Combine like terms: 6 + -1 = 5 -19 + 7w = 5 + 3w Solving -19 + 7w = 5 + 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. -19 + 7w + -3w = 5 + 3w + -3w Combine like terms: 7w + -3w = 4w -19 + 4w = 5 + 3w + -3w Combine like terms: 3w + -3w = 0 -19 + 4w = 5 + 0 -19 + 4w = 5 Add '19' to each side of the equation. -19 + 19 + 4w = 5 + 19 Combine like terms: -19 + 19 = 0 0 + 4w = 5 + 19 4w = 5 + 19 Combine like terms: 5 + 19 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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