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Simplifying 4w + 19 = -8w + 7 Reorder the terms: 19 + 4w = -8w + 7 Reorder the terms: 19 + 4w = 7 + -8w Solving 19 + 4w = 7 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 19 + 4w + 8w = 7 + -8w + 8w Combine like terms: 4w + 8w = 12w 19 + 12w = 7 + -8w + 8w Combine like terms: -8w + 8w = 0 19 + 12w = 7 + 0 19 + 12w = 7 Add '-19' to each side of the equation. 19 + -19 + 12w = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 12w = 7 + -19 12w = 7 + -19 Combine like terms: 7 + -19 = -12 12w = -12 Divide each side by '12'. w = -1 Simplifying w = -1
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