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Simplifying -2(w + 1) = -7w + -37 Reorder the terms: -2(1 + w) = -7w + -37 (1 * -2 + w * -2) = -7w + -37 (-2 + -2w) = -7w + -37 Reorder the terms: -2 + -2w = -37 + -7w Solving -2 + -2w = -37 + -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 = -37 + -7w + 7w Combine like terms: -2w + 7w = 5w -2 + 5w = -37 + -7w + 7w Combine like terms: -7w + 7w = 0 -2 + 5w = -37 + 0 -2 + 5w = -37 Add '2' to each side of the equation. -2 + 2 + 5w = -37 + 2 Combine like terms: -2 + 2 = 0 0 + 5w = -37 + 2 5w = -37 + 2 Combine like terms: -37 + 2 = -35 5w = -35 Divide each side by '5'. w = -7 Simplifying w = -7
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