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Simplifying -9w + 41 = -2(w + -3) Reorder the terms: 41 + -9w = -2(w + -3) Reorder the terms: 41 + -9w = -2(-3 + w) 41 + -9w = (-3 * -2 + w * -2) 41 + -9w = (6 + -2w) Solving 41 + -9w = 6 + -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. 41 + -9w + 2w = 6 + -2w + 2w Combine like terms: -9w + 2w = -7w 41 + -7w = 6 + -2w + 2w Combine like terms: -2w + 2w = 0 41 + -7w = 6 + 0 41 + -7w = 6 Add '-41' to each side of the equation. 41 + -41 + -7w = 6 + -41 Combine like terms: 41 + -41 = 0 0 + -7w = 6 + -41 -7w = 6 + -41 Combine like terms: 6 + -41 = -35 -7w = -35 Divide each side by '-7'. w = 5 Simplifying w = 5
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