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Simplifying 3w + 2 = 17 + 7w Reorder the terms: 2 + 3w = 17 + 7w Solving 2 + 3w = 17 + 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. 2 + 3w + -7w = 17 + 7w + -7w Combine like terms: 3w + -7w = -4w 2 + -4w = 17 + 7w + -7w Combine like terms: 7w + -7w = 0 2 + -4w = 17 + 0 2 + -4w = 17 Add '-2' to each side of the equation. 2 + -2 + -4w = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -4w = 17 + -2 -4w = 17 + -2 Combine like terms: 17 + -2 = 15 -4w = 15 Divide each side by '-4'. w = -3.75 Simplifying w = -3.75
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