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Simplifying 7w + -25 = -3(3 + -5w) Reorder the terms: -25 + 7w = -3(3 + -5w) -25 + 7w = (3 * -3 + -5w * -3) -25 + 7w = (-9 + 15w) Solving -25 + 7w = -9 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -25 + 7w + -15w = -9 + 15w + -15w Combine like terms: 7w + -15w = -8w -25 + -8w = -9 + 15w + -15w Combine like terms: 15w + -15w = 0 -25 + -8w = -9 + 0 -25 + -8w = -9 Add '25' to each side of the equation. -25 + 25 + -8w = -9 + 25 Combine like terms: -25 + 25 = 0 0 + -8w = -9 + 25 -8w = -9 + 25 Combine like terms: -9 + 25 = 16 -8w = 16 Divide each side by '-8'. w = -2 Simplifying w = -2
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