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Simplifying 5w + 33 = 3(w + 9) Reorder the terms: 33 + 5w = 3(w + 9) Reorder the terms: 33 + 5w = 3(9 + w) 33 + 5w = (9 * 3 + w * 3) 33 + 5w = (27 + 3w) Solving 33 + 5w = 27 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 33 + 5w + -3w = 27 + 3w + -3w Combine like terms: 5w + -3w = 2w 33 + 2w = 27 + 3w + -3w Combine like terms: 3w + -3w = 0 33 + 2w = 27 + 0 33 + 2w = 27 Add '-33' to each side of the equation. 33 + -33 + 2w = 27 + -33 Combine like terms: 33 + -33 = 0 0 + 2w = 27 + -33 2w = 27 + -33 Combine like terms: 27 + -33 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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