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Simplifying -7w + 40 = -9(w + -4) Reorder the terms: 40 + -7w = -9(w + -4) Reorder the terms: 40 + -7w = -9(-4 + w) 40 + -7w = (-4 * -9 + w * -9) 40 + -7w = (36 + -9w) Solving 40 + -7w = 36 + -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. 40 + -7w + 9w = 36 + -9w + 9w Combine like terms: -7w + 9w = 2w 40 + 2w = 36 + -9w + 9w Combine like terms: -9w + 9w = 0 40 + 2w = 36 + 0 40 + 2w = 36 Add '-40' to each side of the equation. 40 + -40 + 2w = 36 + -40 Combine like terms: 40 + -40 = 0 0 + 2w = 36 + -40 2w = 36 + -40 Combine like terms: 36 + -40 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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