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Simplifying 7 = 5(w + 5) + -3w Reorder the terms: 7 = 5(5 + w) + -3w 7 = (5 * 5 + w * 5) + -3w 7 = (25 + 5w) + -3w Combine like terms: 5w + -3w = 2w 7 = 25 + 2w Solving 7 = 25 + 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. 7 + -2w = 25 + 2w + -2w Combine like terms: 2w + -2w = 0 7 + -2w = 25 + 0 7 + -2w = 25 Add '-7' to each side of the equation. 7 + -7 + -2w = 25 + -7 Combine like terms: 7 + -7 = 0 0 + -2w = 25 + -7 -2w = 25 + -7 Combine like terms: 25 + -7 = 18 -2w = 18 Divide each side by '-2'. w = -9 Simplifying w = -9
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