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Simplifying 5w + -14 = 2w + -2 Reorder the terms: -14 + 5w = 2w + -2 Reorder the terms: -14 + 5w = -2 + 2w Solving -14 + 5w = -2 + 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. -14 + 5w + -2w = -2 + 2w + -2w Combine like terms: 5w + -2w = 3w -14 + 3w = -2 + 2w + -2w Combine like terms: 2w + -2w = 0 -14 + 3w = -2 + 0 -14 + 3w = -2 Add '14' to each side of the equation. -14 + 14 + 3w = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 3w = -2 + 14 3w = -2 + 14 Combine like terms: -2 + 14 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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