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Simplifying -2(w + 7) = 7w + 40 Reorder the terms: -2(7 + w) = 7w + 40 (7 * -2 + w * -2) = 7w + 40 (-14 + -2w) = 7w + 40 Reorder the terms: -14 + -2w = 40 + 7w Solving -14 + -2w = 40 + 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. -14 + -2w + -7w = 40 + 7w + -7w Combine like terms: -2w + -7w = -9w -14 + -9w = 40 + 7w + -7w Combine like terms: 7w + -7w = 0 -14 + -9w = 40 + 0 -14 + -9w = 40 Add '14' to each side of the equation. -14 + 14 + -9w = 40 + 14 Combine like terms: -14 + 14 = 0 0 + -9w = 40 + 14 -9w = 40 + 14 Combine like terms: 40 + 14 = 54 -9w = 54 Divide each side by '-9'. w = -6 Simplifying w = -6
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