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Simplifying 7(w + -91) + -20 = 1 Reorder the terms: 7(-91 + w) + -20 = 1 (-91 * 7 + w * 7) + -20 = 1 (-637 + 7w) + -20 = 1 Reorder the terms: -637 + -20 + 7w = 1 Combine like terms: -637 + -20 = -657 -657 + 7w = 1 Solving -657 + 7w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '657' to each side of the equation. -657 + 657 + 7w = 1 + 657 Combine like terms: -657 + 657 = 0 0 + 7w = 1 + 657 7w = 1 + 657 Combine like terms: 1 + 657 = 658 7w = 658 Divide each side by '7'. w = 94 Simplifying w = 94
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