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Simplifying -4w + 19 = 8w + 19 Reorder the terms: 19 + -4w = 8w + 19 Reorder the terms: 19 + -4w = 19 + 8w Add '-19' to each side of the equation. 19 + -19 + -4w = 19 + -19 + 8w Combine like terms: 19 + -19 = 0 0 + -4w = 19 + -19 + 8w -4w = 19 + -19 + 8w Combine like terms: 19 + -19 = 0 -4w = 0 + 8w -4w = 8w Solving -4w = 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. -4w + -8w = 8w + -8w Combine like terms: -4w + -8w = -12w -12w = 8w + -8w Combine like terms: 8w + -8w = 0 -12w = 0 Divide each side by '-12'. w = 0 Simplifying w = 0
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