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Simplifying 9 = 3w + 37 + 4w Reorder the terms: 9 = 37 + 3w + 4w Combine like terms: 3w + 4w = 7w 9 = 37 + 7w Solving 9 = 37 + 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 + -7w = 37 + 7w + -7w Combine like terms: 7w + -7w = 0 9 + -7w = 37 + 0 9 + -7w = 37 Add '-9' to each side of the equation. 9 + -9 + -7w = 37 + -9 Combine like terms: 9 + -9 = 0 0 + -7w = 37 + -9 -7w = 37 + -9 Combine like terms: 37 + -9 = 28 -7w = 28 Divide each side by '-7'. w = -4 Simplifying w = -4
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