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Simplifying -3w + -7 = 5w + 11 Reorder the terms: -7 + -3w = 5w + 11 Reorder the terms: -7 + -3w = 11 + 5w Solving -7 + -3w = 11 + 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. -7 + -3w + -5w = 11 + 5w + -5w Combine like terms: -3w + -5w = -8w -7 + -8w = 11 + 5w + -5w Combine like terms: 5w + -5w = 0 -7 + -8w = 11 + 0 -7 + -8w = 11 Add '7' to each side of the equation. -7 + 7 + -8w = 11 + 7 Combine like terms: -7 + 7 = 0 0 + -8w = 11 + 7 -8w = 11 + 7 Combine like terms: 11 + 7 = 18 -8w = 18 Divide each side by '-8'. w = -2.25 Simplifying w = -2.25
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