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Simplifying 2(w + -1) = -7w + -47 Reorder the terms: 2(-1 + w) = -7w + -47 (-1 * 2 + w * 2) = -7w + -47 (-2 + 2w) = -7w + -47 Reorder the terms: -2 + 2w = -47 + -7w Solving -2 + 2w = -47 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -2 + 2w + 7w = -47 + -7w + 7w Combine like terms: 2w + 7w = 9w -2 + 9w = -47 + -7w + 7w Combine like terms: -7w + 7w = 0 -2 + 9w = -47 + 0 -2 + 9w = -47 Add '2' to each side of the equation. -2 + 2 + 9w = -47 + 2 Combine like terms: -2 + 2 = 0 0 + 9w = -47 + 2 9w = -47 + 2 Combine like terms: -47 + 2 = -45 9w = -45 Divide each side by '9'. w = -5 Simplifying w = -5
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