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Simplifying -5w + -9 = 3w + 7 Reorder the terms: -9 + -5w = 3w + 7 Reorder the terms: -9 + -5w = 7 + 3w Solving -9 + -5w = 7 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -9 + -5w + -3w = 7 + 3w + -3w Combine like terms: -5w + -3w = -8w -9 + -8w = 7 + 3w + -3w Combine like terms: 3w + -3w = 0 -9 + -8w = 7 + 0 -9 + -8w = 7 Add '9' to each side of the equation. -9 + 9 + -8w = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -8w = 7 + 9 -8w = 7 + 9 Combine like terms: 7 + 9 = 16 -8w = 16 Divide each side by '-8'. w = -2 Simplifying w = -2
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