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Simplifying -7 + -5w = w + 5 Reorder the terms: -7 + -5w = 5 + w Solving -7 + -5w = 5 + 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. -7 + -5w + -1w = 5 + w + -1w Combine like terms: -5w + -1w = -6w -7 + -6w = 5 + w + -1w Combine like terms: w + -1w = 0 -7 + -6w = 5 + 0 -7 + -6w = 5 Add '7' to each side of the equation. -7 + 7 + -6w = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -6w = 5 + 7 -6w = 5 + 7 Combine like terms: 5 + 7 = 12 -6w = 12 Divide each side by '-6'. w = -2 Simplifying w = -2
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