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Simplifying 4w + 7 = 7w + 25 Reorder the terms: 7 + 4w = 7w + 25 Reorder the terms: 7 + 4w = 25 + 7w Solving 7 + 4w = 25 + 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. 7 + 4w + -7w = 25 + 7w + -7w Combine like terms: 4w + -7w = -3w 7 + -3w = 25 + 7w + -7w Combine like terms: 7w + -7w = 0 7 + -3w = 25 + 0 7 + -3w = 25 Add '-7' to each side of the equation. 7 + -7 + -3w = 25 + -7 Combine like terms: 7 + -7 = 0 0 + -3w = 25 + -7 -3w = 25 + -7 Combine like terms: 25 + -7 = 18 -3w = 18 Divide each side by '-3'. w = -6 Simplifying w = -6
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