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Simplifying -29 = 5w + 6 + -12w Reorder the terms: -29 = 6 + 5w + -12w Combine like terms: 5w + -12w = -7w -29 = 6 + -7w Solving -29 = 6 + -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. -29 + 7w = 6 + -7w + 7w Combine like terms: -7w + 7w = 0 -29 + 7w = 6 + 0 -29 + 7w = 6 Add '29' to each side of the equation. -29 + 29 + 7w = 6 + 29 Combine like terms: -29 + 29 = 0 0 + 7w = 6 + 29 7w = 6 + 29 Combine like terms: 6 + 29 = 35 7w = 35 Divide each side by '7'. w = 5 Simplifying w = 5
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