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Simplifying 5(w + -3) = 9w + -23 Reorder the terms: 5(-3 + w) = 9w + -23 (-3 * 5 + w * 5) = 9w + -23 (-15 + 5w) = 9w + -23 Reorder the terms: -15 + 5w = -23 + 9w Solving -15 + 5w = -23 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -15 + 5w + -9w = -23 + 9w + -9w Combine like terms: 5w + -9w = -4w -15 + -4w = -23 + 9w + -9w Combine like terms: 9w + -9w = 0 -15 + -4w = -23 + 0 -15 + -4w = -23 Add '15' to each side of the equation. -15 + 15 + -4w = -23 + 15 Combine like terms: -15 + 15 = 0 0 + -4w = -23 + 15 -4w = -23 + 15 Combine like terms: -23 + 15 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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