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Simplifying 4w + 25 = 7(w + 7) Reorder the terms: 25 + 4w = 7(w + 7) Reorder the terms: 25 + 4w = 7(7 + w) 25 + 4w = (7 * 7 + w * 7) 25 + 4w = (49 + 7w) Solving 25 + 4w = 49 + 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. 25 + 4w + -7w = 49 + 7w + -7w Combine like terms: 4w + -7w = -3w 25 + -3w = 49 + 7w + -7w Combine like terms: 7w + -7w = 0 25 + -3w = 49 + 0 25 + -3w = 49 Add '-25' to each side of the equation. 25 + -25 + -3w = 49 + -25 Combine like terms: 25 + -25 = 0 0 + -3w = 49 + -25 -3w = 49 + -25 Combine like terms: 49 + -25 = 24 -3w = 24 Divide each side by '-3'. w = -8 Simplifying w = -8
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