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Simplifying 2(w + -1) = -5w + 47 Reorder the terms: 2(-1 + w) = -5w + 47 (-1 * 2 + w * 2) = -5w + 47 (-2 + 2w) = -5w + 47 Reorder the terms: -2 + 2w = 47 + -5w Solving -2 + 2w = 47 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -2 + 2w + 5w = 47 + -5w + 5w Combine like terms: 2w + 5w = 7w -2 + 7w = 47 + -5w + 5w Combine like terms: -5w + 5w = 0 -2 + 7w = 47 + 0 -2 + 7w = 47 Add '2' to each side of the equation. -2 + 2 + 7w = 47 + 2 Combine like terms: -2 + 2 = 0 0 + 7w = 47 + 2 7w = 47 + 2 Combine like terms: 47 + 2 = 49 7w = 49 Divide each side by '7'. w = 7 Simplifying w = 7
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