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Simplifying -5w + -23 = 3(w + -5) Reorder the terms: -23 + -5w = 3(w + -5) Reorder the terms: -23 + -5w = 3(-5 + w) -23 + -5w = (-5 * 3 + w * 3) -23 + -5w = (-15 + 3w) Solving -23 + -5w = -15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -23 + -5w + -3w = -15 + 3w + -3w Combine like terms: -5w + -3w = -8w -23 + -8w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 -23 + -8w = -15 + 0 -23 + -8w = -15 Add '23' to each side of the equation. -23 + 23 + -8w = -15 + 23 Combine like terms: -23 + 23 = 0 0 + -8w = -15 + 23 -8w = -15 + 23 Combine like terms: -15 + 23 = 8 -8w = 8 Divide each side by '-8'. w = -1 Simplifying w = -1
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