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Simplifying 33 = -7w + 5(w + 3) Reorder the terms: 33 = -7w + 5(3 + w) 33 = -7w + (3 * 5 + w * 5) 33 = -7w + (15 + 5w) Reorder the terms: 33 = 15 + -7w + 5w Combine like terms: -7w + 5w = -2w 33 = 15 + -2w Solving 33 = 15 + -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 + 2w = 15 + -2w + 2w Combine like terms: -2w + 2w = 0 33 + 2w = 15 + 0 33 + 2w = 15 Add '-33' to each side of the equation. 33 + -33 + 2w = 15 + -33 Combine like terms: 33 + -33 = 0 0 + 2w = 15 + -33 2w = 15 + -33 Combine like terms: 15 + -33 = -18 2w = -18 Divide each side by '2'. w = -9 Simplifying w = -9
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