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Simplifying 7 + -1 = 5 + w + (-1) Combine like terms: 7 + -1 = 6 6 = 5 + w + (-1) 6 = 5 + w + -1 Reorder the terms: 6 = 5 + -1 + w Combine like terms: 5 + -1 = 4 6 = 4 + w Solving 6 = 4 + 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. 6 + -1w = 4 + w + -1w Combine like terms: w + -1w = 0 6 + -1w = 4 + 0 6 + -1w = 4 Add '-6' to each side of the equation. 6 + -6 + -1w = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 4 + -6 -1w = 4 + -6 Combine like terms: 4 + -6 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2
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