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Simplifying 7w + 41 = -3(w + 3) Reorder the terms: 41 + 7w = -3(w + 3) Reorder the terms: 41 + 7w = -3(3 + w) 41 + 7w = (3 * -3 + w * -3) 41 + 7w = (-9 + -3w) Solving 41 + 7w = -9 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 41 + 7w + 3w = -9 + -3w + 3w Combine like terms: 7w + 3w = 10w 41 + 10w = -9 + -3w + 3w Combine like terms: -3w + 3w = 0 41 + 10w = -9 + 0 41 + 10w = -9 Add '-41' to each side of the equation. 41 + -41 + 10w = -9 + -41 Combine like terms: 41 + -41 = 0 0 + 10w = -9 + -41 10w = -9 + -41 Combine like terms: -9 + -41 = -50 10w = -50 Divide each side by '10'. w = -5 Simplifying w = -5
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