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Simplifying 33 = 3(w + 7) + -7w Reorder the terms: 33 = 3(7 + w) + -7w 33 = (7 * 3 + w * 3) + -7w 33 = (21 + 3w) + -7w Combine like terms: 3w + -7w = -4w 33 = 21 + -4w Solving 33 = 21 + -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 = 21 + -4w + 4w Combine like terms: -4w + 4w = 0 33 + 4w = 21 + 0 33 + 4w = 21 Add '-33' to each side of the equation. 33 + -33 + 4w = 21 + -33 Combine like terms: 33 + -33 = 0 0 + 4w = 21 + -33 4w = 21 + -33 Combine like terms: 21 + -33 = -12 4w = -12 Divide each side by '4'. w = -3 Simplifying w = -3
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