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