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Simplifying 9w + -41 = 7(w + -5) Reorder the terms: -41 + 9w = 7(w + -5) Reorder the terms: -41 + 9w = 7(-5 + w) -41 + 9w = (-5 * 7 + w * 7) -41 + 9w = (-35 + 7w) Solving -41 + 9w = -35 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -41 + 9w + -7w = -35 + 7w + -7w Combine like terms: 9w + -7w = 2w -41 + 2w = -35 + 7w + -7w Combine like terms: 7w + -7w = 0 -41 + 2w = -35 + 0 -41 + 2w = -35 Add '41' to each side of the equation. -41 + 41 + 2w = -35 + 41 Combine like terms: -41 + 41 = 0 0 + 2w = -35 + 41 2w = -35 + 41 Combine like terms: -35 + 41 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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