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Simplifying -7w + 5(w + 5) = 33 Reorder the terms: -7w + 5(5 + w) = 33 -7w + (5 * 5 + w * 5) = 33 -7w + (25 + 5w) = 33 Reorder the terms: 25 + -7w + 5w = 33 Combine like terms: -7w + 5w = -2w 25 + -2w = 33 Solving 25 + -2w = 33 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2w = 33 + -25 Combine like terms: 25 + -25 = 0 0 + -2w = 33 + -25 -2w = 33 + -25 Combine like terms: 33 + -25 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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