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Simplifying -3w + -23 = -5(w + 1) Reorder the terms: -23 + -3w = -5(w + 1) Reorder the terms: -23 + -3w = -5(1 + w) -23 + -3w = (1 * -5 + w * -5) -23 + -3w = (-5 + -5w) Solving -23 + -3w = -5 + -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. -23 + -3w + 5w = -5 + -5w + 5w Combine like terms: -3w + 5w = 2w -23 + 2w = -5 + -5w + 5w Combine like terms: -5w + 5w = 0 -23 + 2w = -5 + 0 -23 + 2w = -5 Add '23' to each side of the equation. -23 + 23 + 2w = -5 + 23 Combine like terms: -23 + 23 = 0 0 + 2w = -5 + 23 2w = -5 + 23 Combine like terms: -5 + 23 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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