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Simplifying -9 + 4w = 9 + 7w Solving -9 + 4w = 9 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -9 + 4w + -7w = 9 + 7w + -7w Combine like terms: 4w + -7w = -3w -9 + -3w = 9 + 7w + -7w Combine like terms: 7w + -7w = 0 -9 + -3w = 9 + 0 -9 + -3w = 9 Add '9' to each side of the equation. -9 + 9 + -3w = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -3w = 9 + 9 -3w = 9 + 9 Combine like terms: 9 + 9 = 18 -3w = 18 Divide each side by '-3'. w = -6 Simplifying w = -6
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