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