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Simplifying 3 + -2w + -5 = 5w + -22 + 3w Reorder the terms: 3 + -5 + -2w = 5w + -22 + 3w Combine like terms: 3 + -5 = -2 -2 + -2w = 5w + -22 + 3w Reorder the terms: -2 + -2w = -22 + 5w + 3w Combine like terms: 5w + 3w = 8w -2 + -2w = -22 + 8w Solving -2 + -2w = -22 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -2 + -2w + -8w = -22 + 8w + -8w Combine like terms: -2w + -8w = -10w -2 + -10w = -22 + 8w + -8w Combine like terms: 8w + -8w = 0 -2 + -10w = -22 + 0 -2 + -10w = -22 Add '2' to each side of the equation. -2 + 2 + -10w = -22 + 2 Combine like terms: -2 + 2 = 0 0 + -10w = -22 + 2 -10w = -22 + 2 Combine like terms: -22 + 2 = -20 -10w = -20 Divide each side by '-10'. w = 2 Simplifying w = 2
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