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Simplifying 12w + 17w + -7 + 6 = -5w + 6 + -7 Reorder the terms: -7 + 6 + 12w + 17w = -5w + 6 + -7 Combine like terms: -7 + 6 = -1 -1 + 12w + 17w = -5w + 6 + -7 Combine like terms: 12w + 17w = 29w -1 + 29w = -5w + 6 + -7 Reorder the terms: -1 + 29w = 6 + -7 + -5w Combine like terms: 6 + -7 = -1 -1 + 29w = -1 + -5w Add '1' to each side of the equation. -1 + 1 + 29w = -1 + 1 + -5w Combine like terms: -1 + 1 = 0 0 + 29w = -1 + 1 + -5w 29w = -1 + 1 + -5w Combine like terms: -1 + 1 = 0 29w = 0 + -5w 29w = -5w Solving 29w = -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. 29w + 5w = -5w + 5w Combine like terms: 29w + 5w = 34w 34w = -5w + 5w Combine like terms: -5w + 5w = 0 34w = 0 Divide each side by '34'. w = 0 Simplifying w = 0
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