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Simplifying -7w + 5(w + 3) = 7 Reorder the terms: -7w + 5(3 + w) = 7 -7w + (3 * 5 + w * 5) = 7 -7w + (15 + 5w) = 7 Reorder the terms: 15 + -7w + 5w = 7 Combine like terms: -7w + 5w = -2w 15 + -2w = 7 Solving 15 + -2w = 7 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 = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -2w = 7 + -15 -2w = 7 + -15 Combine like terms: 7 + -15 = -8 -2w = -8 Divide each side by '-2'. w = 4 Simplifying w = 4
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