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Simplifying -45 = 5(-5w + 1) Reorder the terms: -45 = 5(1 + -5w) -45 = (1 * 5 + -5w * 5) -45 = (5 + -25w) Solving -45 = 5 + -25w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '25w' to each side of the equation. -45 + 25w = 5 + -25w + 25w Combine like terms: -25w + 25w = 0 -45 + 25w = 5 + 0 -45 + 25w = 5 Add '45' to each side of the equation. -45 + 45 + 25w = 5 + 45 Combine like terms: -45 + 45 = 0 0 + 25w = 5 + 45 25w = 5 + 45 Combine like terms: 5 + 45 = 50 25w = 50 Divide each side by '25'. w = 2 Simplifying w = 2
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