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Simplifying -5(w + 2) = -8w + -37 Reorder the terms: -5(2 + w) = -8w + -37 (2 * -5 + w * -5) = -8w + -37 (-10 + -5w) = -8w + -37 Reorder the terms: -10 + -5w = -37 + -8w Solving -10 + -5w = -37 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -10 + -5w + 8w = -37 + -8w + 8w Combine like terms: -5w + 8w = 3w -10 + 3w = -37 + -8w + 8w Combine like terms: -8w + 8w = 0 -10 + 3w = -37 + 0 -10 + 3w = -37 Add '10' to each side of the equation. -10 + 10 + 3w = -37 + 10 Combine like terms: -10 + 10 = 0 0 + 3w = -37 + 10 3w = -37 + 10 Combine like terms: -37 + 10 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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