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Simplifying 3w + 13 = 7w + 17 Reorder the terms: 13 + 3w = 7w + 17 Reorder the terms: 13 + 3w = 17 + 7w Solving 13 + 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. 13 + 3w + -7w = 17 + 7w + -7w Combine like terms: 3w + -7w = -4w 13 + -4w = 17 + 7w + -7w Combine like terms: 7w + -7w = 0 13 + -4w = 17 + 0 13 + -4w = 17 Add '-13' to each side of the equation. 13 + -13 + -4w = 17 + -13 Combine like terms: 13 + -13 = 0 0 + -4w = 17 + -13 -4w = 17 + -13 Combine like terms: 17 + -13 = 4 -4w = 4 Divide each side by '-4'. w = -1 Simplifying w = -1
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