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Simplifying -12 = 2 + 5w + 2w Combine like terms: 5w + 2w = 7w -12 = 2 + 7w Solving -12 = 2 + 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. -12 + -7w = 2 + 7w + -7w Combine like terms: 7w + -7w = 0 -12 + -7w = 2 + 0 -12 + -7w = 2 Add '12' to each side of the equation. -12 + 12 + -7w = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -7w = 2 + 12 -7w = 2 + 12 Combine like terms: 2 + 12 = 14 -7w = 14 Divide each side by '-7'. w = -2 Simplifying w = -2
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