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Simplifying 7w + -5 = 9w + -15 Reorder the terms: -5 + 7w = 9w + -15 Reorder the terms: -5 + 7w = -15 + 9w Solving -5 + 7w = -15 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -5 + 7w + -9w = -15 + 9w + -9w Combine like terms: 7w + -9w = -2w -5 + -2w = -15 + 9w + -9w Combine like terms: 9w + -9w = 0 -5 + -2w = -15 + 0 -5 + -2w = -15 Add '5' to each side of the equation. -5 + 5 + -2w = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -2w = -15 + 5 -2w = -15 + 5 Combine like terms: -15 + 5 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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