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Simplifying 5w + -7 = 9w + 9 Reorder the terms: -7 + 5w = 9w + 9 Reorder the terms: -7 + 5w = 9 + 9w Solving -7 + 5w = 9 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -7 + 5w + -9w = 9 + 9w + -9w Combine like terms: 5w + -9w = -4w -7 + -4w = 9 + 9w + -9w Combine like terms: 9w + -9w = 0 -7 + -4w = 9 + 0 -7 + -4w = 9 Add '7' to each side of the equation. -7 + 7 + -4w = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -4w = 9 + 7 -4w = 9 + 7 Combine like terms: 9 + 7 = 16 -4w = 16 Divide each side by '-4'. w = -4 Simplifying w = -4
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