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Simplifying 3w = 5(w + 3) + -3 Reorder the terms: 3w = 5(3 + w) + -3 3w = (3 * 5 + w * 5) + -3 3w = (15 + 5w) + -3 Reorder the terms: 3w = 15 + -3 + 5w Combine like terms: 15 + -3 = 12 3w = 12 + 5w Solving 3w = 12 + 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. 3w + -5w = 12 + 5w + -5w Combine like terms: 3w + -5w = -2w -2w = 12 + 5w + -5w Combine like terms: 5w + -5w = 0 -2w = 12 + 0 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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