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Simplifying -9w + -20 = -7(w + 2) Reorder the terms: -20 + -9w = -7(w + 2) Reorder the terms: -20 + -9w = -7(2 + w) -20 + -9w = (2 * -7 + w * -7) -20 + -9w = (-14 + -7w) Solving -20 + -9w = -14 + -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. -20 + -9w + 7w = -14 + -7w + 7w Combine like terms: -9w + 7w = -2w -20 + -2w = -14 + -7w + 7w Combine like terms: -7w + 7w = 0 -20 + -2w = -14 + 0 -20 + -2w = -14 Add '20' to each side of the equation. -20 + 20 + -2w = -14 + 20 Combine like terms: -20 + 20 = 0 0 + -2w = -14 + 20 -2w = -14 + 20 Combine like terms: -14 + 20 = 6 -2w = 6 Divide each side by '-2'. w = -3 Simplifying w = -3
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