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Simplifying 5w + 12 + -2w + -14 = 22 Reorder the terms: 12 + -14 + 5w + -2w = 22 Combine like terms: 12 + -14 = -2 -2 + 5w + -2w = 22 Combine like terms: 5w + -2w = 3w -2 + 3w = 22 Solving -2 + 3w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3w = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 3w = 22 + 2 3w = 22 + 2 Combine like terms: 22 + 2 = 24 3w = 24 Divide each side by '3'. w = 8 Simplifying w = 8
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