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