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Simplifying -5w + -40 = -7(w + 8) Reorder the terms: -40 + -5w = -7(w + 8) Reorder the terms: -40 + -5w = -7(8 + w) -40 + -5w = (8 * -7 + w * -7) -40 + -5w = (-56 + -7w) Solving -40 + -5w = -56 + -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. -40 + -5w + 7w = -56 + -7w + 7w Combine like terms: -5w + 7w = 2w -40 + 2w = -56 + -7w + 7w Combine like terms: -7w + 7w = 0 -40 + 2w = -56 + 0 -40 + 2w = -56 Add '40' to each side of the equation. -40 + 40 + 2w = -56 + 40 Combine like terms: -40 + 40 = 0 0 + 2w = -56 + 40 2w = -56 + 40 Combine like terms: -56 + 40 = -16 2w = -16 Divide each side by '2'. w = -8 Simplifying w = -8
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