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Simplifying 33 = 7(w + 7) + -3w Reorder the terms: 33 = 7(7 + w) + -3w 33 = (7 * 7 + w * 7) + -3w 33 = (49 + 7w) + -3w Combine like terms: 7w + -3w = 4w 33 = 49 + 4w Solving 33 = 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. 33 + -4w = 49 + 4w + -4w Combine like terms: 4w + -4w = 0 33 + -4w = 49 + 0 33 + -4w = 49 Add '-33' to each side of the equation. 33 + -33 + -4w = 49 + -33 Combine like terms: 33 + -33 = 0 0 + -4w = 49 + -33 -4w = 49 + -33 Combine like terms: 49 + -33 = 16 -4w = 16 Divide each side by '-4'. w = -4 Simplifying w = -4
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