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Simplifying 3(w + -2) = 25 + -2(w + 3) Reorder the terms: 3(-2 + w) = 25 + -2(w + 3) (-2 * 3 + w * 3) = 25 + -2(w + 3) (-6 + 3w) = 25 + -2(w + 3) Reorder the terms: -6 + 3w = 25 + -2(3 + w) -6 + 3w = 25 + (3 * -2 + w * -2) -6 + 3w = 25 + (-6 + -2w) Combine like terms: 25 + -6 = 19 -6 + 3w = 19 + -2w Solving -6 + 3w = 19 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -6 + 3w + 2w = 19 + -2w + 2w Combine like terms: 3w + 2w = 5w -6 + 5w = 19 + -2w + 2w Combine like terms: -2w + 2w = 0 -6 + 5w = 19 + 0 -6 + 5w = 19 Add '6' to each side of the equation. -6 + 6 + 5w = 19 + 6 Combine like terms: -6 + 6 = 0 0 + 5w = 19 + 6 5w = 19 + 6 Combine like terms: 19 + 6 = 25 5w = 25 Divide each side by '5'. w = 5 Simplifying w = 5
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