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Simplifying 3w + 9 = 4 + 7w + -1 Reorder the terms: 9 + 3w = 4 + 7w + -1 Reorder the terms: 9 + 3w = 4 + -1 + 7w Combine like terms: 4 + -1 = 3 9 + 3w = 3 + 7w Solving 9 + 3w = 3 + 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 + 3w + -7w = 3 + 7w + -7w Combine like terms: 3w + -7w = -4w 9 + -4w = 3 + 7w + -7w Combine like terms: 7w + -7w = 0 9 + -4w = 3 + 0 9 + -4w = 3 Add '-9' to each side of the equation. 9 + -9 + -4w = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -4w = 3 + -9 -4w = 3 + -9 Combine like terms: 3 + -9 = -6 -4w = -6 Divide each side by '-4'. w = 1.5 Simplifying w = 1.5
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