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Simplifying 3(w + 7) + -1(-7w + -4) = 9w Reorder the terms: 3(7 + w) + -1(-7w + -4) = 9w (7 * 3 + w * 3) + -1(-7w + -4) = 9w (21 + 3w) + -1(-7w + -4) = 9w Reorder the terms: 21 + 3w + -1(-4 + -7w) = 9w 21 + 3w + (-4 * -1 + -7w * -1) = 9w 21 + 3w + (4 + 7w) = 9w Reorder the terms: 21 + 4 + 3w + 7w = 9w Combine like terms: 21 + 4 = 25 25 + 3w + 7w = 9w Combine like terms: 3w + 7w = 10w 25 + 10w = 9w Solving 25 + 10w = 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. 25 + 10w + -9w = 9w + -9w Combine like terms: 10w + -9w = 1w 25 + 1w = 9w + -9w Combine like terms: 9w + -9w = 0 25 + 1w = 0 Add '-25' to each side of the equation. 25 + -25 + 1w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 1w = 0 + -25 1w = 0 + -25 Combine like terms: 0 + -25 = -25 1w = -25 Divide each side by '1'. w = -25 Simplifying w = -25
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