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Simplifying -7w + 20 = -9(w + -4) Reorder the terms: 20 + -7w = -9(w + -4) Reorder the terms: 20 + -7w = -9(-4 + w) 20 + -7w = (-4 * -9 + w * -9) 20 + -7w = (36 + -9w) Solving 20 + -7w = 36 + -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. 20 + -7w + 9w = 36 + -9w + 9w Combine like terms: -7w + 9w = 2w 20 + 2w = 36 + -9w + 9w Combine like terms: -9w + 9w = 0 20 + 2w = 36 + 0 20 + 2w = 36 Add '-20' to each side of the equation. 20 + -20 + 2w = 36 + -20 Combine like terms: 20 + -20 = 0 0 + 2w = 36 + -20 2w = 36 + -20 Combine like terms: 36 + -20 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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