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Simplifying 5w + -7 = 3w + 19 Reorder the terms: -7 + 5w = 3w + 19 Reorder the terms: -7 + 5w = 19 + 3w Solving -7 + 5w = 19 + 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. -7 + 5w + -3w = 19 + 3w + -3w Combine like terms: 5w + -3w = 2w -7 + 2w = 19 + 3w + -3w Combine like terms: 3w + -3w = 0 -7 + 2w = 19 + 0 -7 + 2w = 19 Add '7' to each side of the equation. -7 + 7 + 2w = 19 + 7 Combine like terms: -7 + 7 = 0 0 + 2w = 19 + 7 2w = 19 + 7 Combine like terms: 19 + 7 = 26 2w = 26 Divide each side by '2'. w = 13 Simplifying w = 13
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