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Simplifying 25w + -1(1 + w) = 47 25w + (1 * -1 + w * -1) = 47 25w + (-1 + -1w) = 47 Reorder the terms: -1 + 25w + -1w = 47 Combine like terms: 25w + -1w = 24w -1 + 24w = 47 Solving -1 + 24w = 47 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 24w = 47 + 1 Combine like terms: -1 + 1 = 0 0 + 24w = 47 + 1 24w = 47 + 1 Combine like terms: 47 + 1 = 48 24w = 48 Divide each side by '24'. w = 2 Simplifying w = 2
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