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Simplifying 7w + -15 = -33 + 5w Reorder the terms: -15 + 7w = -33 + 5w Solving -15 + 7w = -33 + 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. -15 + 7w + -5w = -33 + 5w + -5w Combine like terms: 7w + -5w = 2w -15 + 2w = -33 + 5w + -5w Combine like terms: 5w + -5w = 0 -15 + 2w = -33 + 0 -15 + 2w = -33 Add '15' to each side of the equation. -15 + 15 + 2w = -33 + 15 Combine like terms: -15 + 15 = 0 0 + 2w = -33 + 15 2w = -33 + 15 Combine like terms: -33 + 15 = -18 2w = -18 Divide each side by '2'. w = -9 Simplifying w = -9
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