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Simplifying 5w + -29 = 22 + -2w Reorder the terms: -29 + 5w = 22 + -2w Solving -29 + 5w = 22 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -29 + 5w + 2w = 22 + -2w + 2w Combine like terms: 5w + 2w = 7w -29 + 7w = 22 + -2w + 2w Combine like terms: -2w + 2w = 0 -29 + 7w = 22 + 0 -29 + 7w = 22 Add '29' to each side of the equation. -29 + 29 + 7w = 22 + 29 Combine like terms: -29 + 29 = 0 0 + 7w = 22 + 29 7w = 22 + 29 Combine like terms: 22 + 29 = 51 7w = 51 Divide each side by '7'. w = 7.285714286 Simplifying w = 7.285714286
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