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Simplifying 3(w + -9) + -1(-7w + -5) = 9w Reorder the terms: 3(-9 + w) + -1(-7w + -5) = 9w (-9 * 3 + w * 3) + -1(-7w + -5) = 9w (-27 + 3w) + -1(-7w + -5) = 9w Reorder the terms: -27 + 3w + -1(-5 + -7w) = 9w -27 + 3w + (-5 * -1 + -7w * -1) = 9w -27 + 3w + (5 + 7w) = 9w Reorder the terms: -27 + 5 + 3w + 7w = 9w Combine like terms: -27 + 5 = -22 -22 + 3w + 7w = 9w Combine like terms: 3w + 7w = 10w -22 + 10w = 9w Solving -22 + 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. -22 + 10w + -9w = 9w + -9w Combine like terms: 10w + -9w = 1w -22 + 1w = 9w + -9w Combine like terms: 9w + -9w = 0 -22 + 1w = 0 Add '22' to each side of the equation. -22 + 22 + 1w = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 1w = 0 + 22 1w = 0 + 22 Combine like terms: 0 + 22 = 22 1w = 22 Divide each side by '1'. w = 22 Simplifying w = 22
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