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Simplifying -23 = 3(w + -3) + -5w Reorder the terms: -23 = 3(-3 + w) + -5w -23 = (-3 * 3 + w * 3) + -5w -23 = (-9 + 3w) + -5w Combine like terms: 3w + -5w = -2w -23 = -9 + -2w Solving -23 = -9 + -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. -23 + 2w = -9 + -2w + 2w Combine like terms: -2w + 2w = 0 -23 + 2w = -9 + 0 -23 + 2w = -9 Add '23' to each side of the equation. -23 + 23 + 2w = -9 + 23 Combine like terms: -23 + 23 = 0 0 + 2w = -9 + 23 2w = -9 + 23 Combine like terms: -9 + 23 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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