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Simplifying w + -7 = 9 + 5 + -2w Reorder the terms: -7 + w = 9 + 5 + -2w Combine like terms: 9 + 5 = 14 -7 + w = 14 + -2w Solving -7 + w = 14 + -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. -7 + w + 2w = 14 + -2w + 2w Combine like terms: w + 2w = 3w -7 + 3w = 14 + -2w + 2w Combine like terms: -2w + 2w = 0 -7 + 3w = 14 + 0 -7 + 3w = 14 Add '7' to each side of the equation. -7 + 7 + 3w = 14 + 7 Combine like terms: -7 + 7 = 0 0 + 3w = 14 + 7 3w = 14 + 7 Combine like terms: 14 + 7 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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