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Simplifying 9(w + -4) = 7w + -44 Reorder the terms: 9(-4 + w) = 7w + -44 (-4 * 9 + w * 9) = 7w + -44 (-36 + 9w) = 7w + -44 Reorder the terms: -36 + 9w = -44 + 7w Solving -36 + 9w = -44 + 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. -36 + 9w + -7w = -44 + 7w + -7w Combine like terms: 9w + -7w = 2w -36 + 2w = -44 + 7w + -7w Combine like terms: 7w + -7w = 0 -36 + 2w = -44 + 0 -36 + 2w = -44 Add '36' to each side of the equation. -36 + 36 + 2w = -44 + 36 Combine like terms: -36 + 36 = 0 0 + 2w = -44 + 36 2w = -44 + 36 Combine like terms: -44 + 36 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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