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Simplifying -8w + -14 + w = -5w + 16 Reorder the terms: -14 + -8w + w = -5w + 16 Combine like terms: -8w + w = -7w -14 + -7w = -5w + 16 Reorder the terms: -14 + -7w = 16 + -5w Solving -14 + -7w = 16 + -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. -14 + -7w + 5w = 16 + -5w + 5w Combine like terms: -7w + 5w = -2w -14 + -2w = 16 + -5w + 5w Combine like terms: -5w + 5w = 0 -14 + -2w = 16 + 0 -14 + -2w = 16 Add '14' to each side of the equation. -14 + 14 + -2w = 16 + 14 Combine like terms: -14 + 14 = 0 0 + -2w = 16 + 14 -2w = 16 + 14 Combine like terms: 16 + 14 = 30 -2w = 30 Divide each side by '-2'. w = -15 Simplifying w = -15
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