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Simplifying -2w + 41 = 3(w + -3) Reorder the terms: 41 + -2w = 3(w + -3) Reorder the terms: 41 + -2w = 3(-3 + w) 41 + -2w = (-3 * 3 + w * 3) 41 + -2w = (-9 + 3w) Solving 41 + -2w = -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 + -2w + -3w = -9 + 3w + -3w Combine like terms: -2w + -3w = -5w 41 + -5w = -9 + 3w + -3w Combine like terms: 3w + -3w = 0 41 + -5w = -9 + 0 41 + -5w = -9 Add '-41' to each side of the equation. 41 + -41 + -5w = -9 + -41 Combine like terms: 41 + -41 = 0 0 + -5w = -9 + -41 -5w = -9 + -41 Combine like terms: -9 + -41 = -50 -5w = -50 Divide each side by '-5'. w = 10 Simplifying w = 10
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