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Simplifying 15 + -5(w + -5) = 3w Reorder the terms: 15 + -5(-5 + w) = 3w 15 + (-5 * -5 + w * -5) = 3w 15 + (25 + -5w) = 3w Combine like terms: 15 + 25 = 40 40 + -5w = 3w Solving 40 + -5w = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 40 + -5w + -3w = 3w + -3w Combine like terms: -5w + -3w = -8w 40 + -8w = 3w + -3w Combine like terms: 3w + -3w = 0 40 + -8w = 0 Add '-40' to each side of the equation. 40 + -40 + -8w = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -8w = 0 + -40 -8w = 0 + -40 Combine like terms: 0 + -40 = -40 -8w = -40 Divide each side by '-8'. w = 5 Simplifying w = 5
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