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Simplifying -9w + 20 + 4 = -3w + -7(w + -1) Reorder the terms: 20 + 4 + -9w = -3w + -7(w + -1) Combine like terms: 20 + 4 = 24 24 + -9w = -3w + -7(w + -1) Reorder the terms: 24 + -9w = -3w + -7(-1 + w) 24 + -9w = -3w + (-1 * -7 + w * -7) 24 + -9w = -3w + (7 + -7w) Reorder the terms: 24 + -9w = 7 + -3w + -7w Combine like terms: -3w + -7w = -10w 24 + -9w = 7 + -10w Solving 24 + -9w = 7 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 24 + -9w + 10w = 7 + -10w + 10w Combine like terms: -9w + 10w = 1w 24 + 1w = 7 + -10w + 10w Combine like terms: -10w + 10w = 0 24 + 1w = 7 + 0 24 + 1w = 7 Add '-24' to each side of the equation. 24 + -24 + 1w = 7 + -24 Combine like terms: 24 + -24 = 0 0 + 1w = 7 + -24 1w = 7 + -24 Combine like terms: 7 + -24 = -17 1w = -17 Divide each side by '1'. w = -17 Simplifying w = -17
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