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Simplifying 5w + 5 = 19 + -2w Reorder the terms: 5 + 5w = 19 + -2w Solving 5 + 5w = 19 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 5 + 5w + 2w = 19 + -2w + 2w Combine like terms: 5w + 2w = 7w 5 + 7w = 19 + -2w + 2w Combine like terms: -2w + 2w = 0 5 + 7w = 19 + 0 5 + 7w = 19 Add '-5' to each side of the equation. 5 + -5 + 7w = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 7w = 19 + -5 7w = 19 + -5 Combine like terms: 19 + -5 = 14 7w = 14 Divide each side by '7'. w = 2 Simplifying w = 2
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