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Simplifying -1w + -9 = -7 + -3w Reorder the terms: -9 + -1w = -7 + -3w Solving -9 + -1w = -7 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -9 + -1w + 3w = -7 + -3w + 3w Combine like terms: -1w + 3w = 2w -9 + 2w = -7 + -3w + 3w Combine like terms: -3w + 3w = 0 -9 + 2w = -7 + 0 -9 + 2w = -7 Add '9' to each side of the equation. -9 + 9 + 2w = -7 + 9 Combine like terms: -9 + 9 = 0 0 + 2w = -7 + 9 2w = -7 + 9 Combine like terms: -7 + 9 = 2 2w = 2 Divide each side by '2'. w = 1 Simplifying w = 1
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