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Simplifying 5 = 3w + 2(w + -5) Reorder the terms: 5 = 3w + 2(-5 + w) 5 = 3w + (-5 * 2 + w * 2) 5 = 3w + (-10 + 2w) Reorder the terms: 5 = -10 + 3w + 2w Combine like terms: 3w + 2w = 5w 5 = -10 + 5w Solving 5 = -10 + 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. 5 + -5w = -10 + 5w + -5w Combine like terms: 5w + -5w = 0 5 + -5w = -10 + 0 5 + -5w = -10 Add '-5' to each side of the equation. 5 + -5 + -5w = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -5w = -10 + -5 -5w = -10 + -5 Combine like terms: -10 + -5 = -15 -5w = -15 Divide each side by '-5'. w = 3 Simplifying w = 3
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