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Simplifying -7w + -5 = w + 35 Reorder the terms: -5 + -7w = w + 35 Reorder the terms: -5 + -7w = 35 + w Solving -5 + -7w = 35 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -5 + -7w + -1w = 35 + w + -1w Combine like terms: -7w + -1w = -8w -5 + -8w = 35 + w + -1w Combine like terms: w + -1w = 0 -5 + -8w = 35 + 0 -5 + -8w = 35 Add '5' to each side of the equation. -5 + 5 + -8w = 35 + 5 Combine like terms: -5 + 5 = 0 0 + -8w = 35 + 5 -8w = 35 + 5 Combine like terms: 35 + 5 = 40 -8w = 40 Divide each side by '-8'. w = -5 Simplifying w = -5
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