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Simplifying 5w + 5 = 7w + -19 Reorder the terms: 5 + 5w = 7w + -19 Reorder the terms: 5 + 5w = -19 + 7w Solving 5 + 5w = -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. 5 + 5w + -7w = -19 + 7w + -7w Combine like terms: 5w + -7w = -2w 5 + -2w = -19 + 7w + -7w Combine like terms: 7w + -7w = 0 5 + -2w = -19 + 0 5 + -2w = -19 Add '-5' to each side of the equation. 5 + -5 + -2w = -19 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = -19 + -5 -2w = -19 + -5 Combine like terms: -19 + -5 = -24 -2w = -24 Divide each side by '-2'. w = 12 Simplifying w = 12
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