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Simplifying -5w + -16 = -7w + -12 Reorder the terms: -16 + -5w = -7w + -12 Reorder the terms: -16 + -5w = -12 + -7w Solving -16 + -5w = -12 + -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. -16 + -5w + 7w = -12 + -7w + 7w Combine like terms: -5w + 7w = 2w -16 + 2w = -12 + -7w + 7w Combine like terms: -7w + 7w = 0 -16 + 2w = -12 + 0 -16 + 2w = -12 Add '16' to each side of the equation. -16 + 16 + 2w = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 2w = -12 + 16 2w = -12 + 16 Combine like terms: -12 + 16 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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