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Simplifying -5(w + 3) = 3w + 25 Reorder the terms: -5(3 + w) = 3w + 25 (3 * -5 + w * -5) = 3w + 25 (-15 + -5w) = 3w + 25 Reorder the terms: -15 + -5w = 25 + 3w Solving -15 + -5w = 25 + 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. -15 + -5w + -3w = 25 + 3w + -3w Combine like terms: -5w + -3w = -8w -15 + -8w = 25 + 3w + -3w Combine like terms: 3w + -3w = 0 -15 + -8w = 25 + 0 -15 + -8w = 25 Add '15' to each side of the equation. -15 + 15 + -8w = 25 + 15 Combine like terms: -15 + 15 = 0 0 + -8w = 25 + 15 -8w = 25 + 15 Combine like terms: 25 + 15 = 40 -8w = 40 Divide each side by '-8'. w = -5 Simplifying w = -5
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