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Simplifying 12w + 16w + -6 + 5 = -5w + 5 + -6 Reorder the terms: -6 + 5 + 12w + 16w = -5w + 5 + -6 Combine like terms: -6 + 5 = -1 -1 + 12w + 16w = -5w + 5 + -6 Combine like terms: 12w + 16w = 28w -1 + 28w = -5w + 5 + -6 Reorder the terms: -1 + 28w = 5 + -6 + -5w Combine like terms: 5 + -6 = -1 -1 + 28w = -1 + -5w Add '1' to each side of the equation. -1 + 1 + 28w = -1 + 1 + -5w Combine like terms: -1 + 1 = 0 0 + 28w = -1 + 1 + -5w 28w = -1 + 1 + -5w Combine like terms: -1 + 1 = 0 28w = 0 + -5w 28w = -5w Solving 28w = -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 28w + 5w = -5w + 5w Combine like terms: 28w + 5w = 33w 33w = -5w + 5w Combine like terms: -5w + 5w = 0 33w = 0 Divide each side by '33'. w = 0 Simplifying w = 0
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