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