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Simplifying -7w + -15 = 2w + 12 Reorder the terms: -15 + -7w = 2w + 12 Reorder the terms: -15 + -7w = 12 + 2w Solving -15 + -7w = 12 + 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. -15 + -7w + -2w = 12 + 2w + -2w Combine like terms: -7w + -2w = -9w -15 + -9w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 -15 + -9w = 12 + 0 -15 + -9w = 12 Add '15' to each side of the equation. -15 + 15 + -9w = 12 + 15 Combine like terms: -15 + 15 = 0 0 + -9w = 12 + 15 -9w = 12 + 15 Combine like terms: 12 + 15 = 27 -9w = 27 Divide each side by '-9'. w = -3 Simplifying w = -3
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