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Simplifying -2(w + 1) = -9w + -16 Reorder the terms: -2(1 + w) = -9w + -16 (1 * -2 + w * -2) = -9w + -16 (-2 + -2w) = -9w + -16 Reorder the terms: -2 + -2w = -16 + -9w Solving -2 + -2w = -16 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -2 + -2w + 9w = -16 + -9w + 9w Combine like terms: -2w + 9w = 7w -2 + 7w = -16 + -9w + 9w Combine like terms: -9w + 9w = 0 -2 + 7w = -16 + 0 -2 + 7w = -16 Add '2' to each side of the equation. -2 + 2 + 7w = -16 + 2 Combine like terms: -2 + 2 = 0 0 + 7w = -16 + 2 7w = -16 + 2 Combine like terms: -16 + 2 = -14 7w = -14 Divide each side by '7'. w = -2 Simplifying w = -2
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