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Simplifying -3(w + -6) = -5w + 22 Reorder the terms: -3(-6 + w) = -5w + 22 (-6 * -3 + w * -3) = -5w + 22 (18 + -3w) = -5w + 22 Reorder the terms: 18 + -3w = 22 + -5w Solving 18 + -3w = 22 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 18 + -3w + 5w = 22 + -5w + 5w Combine like terms: -3w + 5w = 2w 18 + 2w = 22 + -5w + 5w Combine like terms: -5w + 5w = 0 18 + 2w = 22 + 0 18 + 2w = 22 Add '-18' to each side of the equation. 18 + -18 + 2w = 22 + -18 Combine like terms: 18 + -18 = 0 0 + 2w = 22 + -18 2w = 22 + -18 Combine like terms: 22 + -18 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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