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Simplifying -9 + 2w = 7 + 4w Solving -9 + 2w = 7 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -9 + 2w + -4w = 7 + 4w + -4w Combine like terms: 2w + -4w = -2w -9 + -2w = 7 + 4w + -4w Combine like terms: 4w + -4w = 0 -9 + -2w = 7 + 0 -9 + -2w = 7 Add '9' to each side of the equation. -9 + 9 + -2w = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -2w = 7 + 9 -2w = 7 + 9 Combine like terms: 7 + 9 = 16 -2w = 16 Divide each side by '-2'. w = -8 Simplifying w = -8
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