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Simplifying 2w + 1 = 5w + -29 Reorder the terms: 1 + 2w = 5w + -29 Reorder the terms: 1 + 2w = -29 + 5w Solving 1 + 2w = -29 + 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. 1 + 2w + -5w = -29 + 5w + -5w Combine like terms: 2w + -5w = -3w 1 + -3w = -29 + 5w + -5w Combine like terms: 5w + -5w = 0 1 + -3w = -29 + 0 1 + -3w = -29 Add '-1' to each side of the equation. 1 + -1 + -3w = -29 + -1 Combine like terms: 1 + -1 = 0 0 + -3w = -29 + -1 -3w = -29 + -1 Combine like terms: -29 + -1 = -30 -3w = -30 Divide each side by '-3'. w = 10 Simplifying w = 10
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