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Simplifying -7w + 11 = 5w + -1 Reorder the terms: 11 + -7w = 5w + -1 Reorder the terms: 11 + -7w = -1 + 5w Solving 11 + -7w = -1 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 11 + -7w + -5w = -1 + 5w + -5w Combine like terms: -7w + -5w = -12w 11 + -12w = -1 + 5w + -5w Combine like terms: 5w + -5w = 0 11 + -12w = -1 + 0 11 + -12w = -1 Add '-11' to each side of the equation. 11 + -11 + -12w = -1 + -11 Combine like terms: 11 + -11 = 0 0 + -12w = -1 + -11 -12w = -1 + -11 Combine like terms: -1 + -11 = -12 -12w = -12 Divide each side by '-12'. w = 1 Simplifying w = 1
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