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Simplifying -7(w + 2) = -9w + 4 Reorder the terms: -7(2 + w) = -9w + 4 (2 * -7 + w * -7) = -9w + 4 (-14 + -7w) = -9w + 4 Reorder the terms: -14 + -7w = 4 + -9w Solving -14 + -7w = 4 + -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. -14 + -7w + 9w = 4 + -9w + 9w Combine like terms: -7w + 9w = 2w -14 + 2w = 4 + -9w + 9w Combine like terms: -9w + 9w = 0 -14 + 2w = 4 + 0 -14 + 2w = 4 Add '14' to each side of the equation. -14 + 14 + 2w = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 2w = 4 + 14 2w = 4 + 14 Combine like terms: 4 + 14 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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