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Simplifying 15 + 2w = 7w + -45 Reorder the terms: 15 + 2w = -45 + 7w Solving 15 + 2w = -45 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 15 + 2w + -7w = -45 + 7w + -7w Combine like terms: 2w + -7w = -5w 15 + -5w = -45 + 7w + -7w Combine like terms: 7w + -7w = 0 15 + -5w = -45 + 0 15 + -5w = -45 Add '-15' to each side of the equation. 15 + -15 + -5w = -45 + -15 Combine like terms: 15 + -15 = 0 0 + -5w = -45 + -15 -5w = -45 + -15 Combine like terms: -45 + -15 = -60 -5w = -60 Divide each side by '-5'. w = 12 Simplifying w = 12
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