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Simplifying 29 = 7(w + 7) + -3w Reorder the terms: 29 = 7(7 + w) + -3w 29 = (7 * 7 + w * 7) + -3w 29 = (49 + 7w) + -3w Combine like terms: 7w + -3w = 4w 29 = 49 + 4w Solving 29 = 49 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 29 + -4w = 49 + 4w + -4w Combine like terms: 4w + -4w = 0 29 + -4w = 49 + 0 29 + -4w = 49 Add '-29' to each side of the equation. 29 + -29 + -4w = 49 + -29 Combine like terms: 29 + -29 = 0 0 + -4w = 49 + -29 -4w = 49 + -29 Combine like terms: 49 + -29 = 20 -4w = 20 Divide each side by '-4'. w = -5 Simplifying w = -5
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