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Simplifying -7w + 12 = -5w Reorder the terms: 12 + -7w = -5w Solving 12 + -7w = -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. 12 + -7w + 5w = -5w + 5w Combine like terms: -7w + 5w = -2w 12 + -2w = -5w + 5w Combine like terms: -5w + 5w = 0 12 + -2w = 0 Add '-12' to each side of the equation. 12 + -12 + -2w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2w = 0 + -12 -2w = 0 + -12 Combine like terms: 0 + -12 = -12 -2w = -12 Divide each side by '-2'. w = 6 Simplifying w = 6
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