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Simplifying 5(w + 3) + -7w = 33 Reorder the terms: 5(3 + w) + -7w = 33 (3 * 5 + w * 5) + -7w = 33 (15 + 5w) + -7w = 33 Combine like terms: 5w + -7w = -2w 15 + -2w = 33 Solving 15 + -2w = 33 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2w = 33 + -15 Combine like terms: 15 + -15 = 0 0 + -2w = 33 + -15 -2w = 33 + -15 Combine like terms: 33 + -15 = 18 -2w = 18 Divide each side by '-2'. w = -9 Simplifying w = -9
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