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Simplifying 5w + 33 = 2(w + 6) Reorder the terms: 33 + 5w = 2(w + 6) Reorder the terms: 33 + 5w = 2(6 + w) 33 + 5w = (6 * 2 + w * 2) 33 + 5w = (12 + 2w) Solving 33 + 5w = 12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 33 + 5w + -2w = 12 + 2w + -2w Combine like terms: 5w + -2w = 3w 33 + 3w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 33 + 3w = 12 + 0 33 + 3w = 12 Add '-33' to each side of the equation. 33 + -33 + 3w = 12 + -33 Combine like terms: 33 + -33 = 0 0 + 3w = 12 + -33 3w = 12 + -33 Combine like terms: 12 + -33 = -21 3w = -21 Divide each side by '3'. w = -7 Simplifying w = -7
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