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Simplifying 7w + 44 = -2(w + -4) Reorder the terms: 44 + 7w = -2(w + -4) Reorder the terms: 44 + 7w = -2(-4 + w) 44 + 7w = (-4 * -2 + w * -2) 44 + 7w = (8 + -2w) Solving 44 + 7w = 8 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 44 + 7w + 2w = 8 + -2w + 2w Combine like terms: 7w + 2w = 9w 44 + 9w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 44 + 9w = 8 + 0 44 + 9w = 8 Add '-44' to each side of the equation. 44 + -44 + 9w = 8 + -44 Combine like terms: 44 + -44 = 0 0 + 9w = 8 + -44 9w = 8 + -44 Combine like terms: 8 + -44 = -36 9w = -36 Divide each side by '9'. w = -4 Simplifying w = -4
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