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Simplifying -7(w + -2) = -2w + -36 Reorder the terms: -7(-2 + w) = -2w + -36 (-2 * -7 + w * -7) = -2w + -36 (14 + -7w) = -2w + -36 Reorder the terms: 14 + -7w = -36 + -2w Solving 14 + -7w = -36 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 14 + -7w + 2w = -36 + -2w + 2w Combine like terms: -7w + 2w = -5w 14 + -5w = -36 + -2w + 2w Combine like terms: -2w + 2w = 0 14 + -5w = -36 + 0 14 + -5w = -36 Add '-14' to each side of the equation. 14 + -14 + -5w = -36 + -14 Combine like terms: 14 + -14 = 0 0 + -5w = -36 + -14 -5w = -36 + -14 Combine like terms: -36 + -14 = -50 -5w = -50 Divide each side by '-5'. w = 10 Simplifying w = 10
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