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Simplifying 9 + -3w = -5 + 4w Solving 9 + -3w = -5 + 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 + -3w + -4w = -5 + 4w + -4w Combine like terms: -3w + -4w = -7w 9 + -7w = -5 + 4w + -4w Combine like terms: 4w + -4w = 0 9 + -7w = -5 + 0 9 + -7w = -5 Add '-9' to each side of the equation. 9 + -9 + -7w = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -7w = -5 + -9 -7w = -5 + -9 Combine like terms: -5 + -9 = -14 -7w = -14 Divide each side by '-7'. w = 2 Simplifying w = 2
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