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Simplifying -7w + 40 = -5(w + -4) Reorder the terms: 40 + -7w = -5(w + -4) Reorder the terms: 40 + -7w = -5(-4 + w) 40 + -7w = (-4 * -5 + w * -5) 40 + -7w = (20 + -5w) Solving 40 + -7w = 20 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 40 + -7w + 5w = 20 + -5w + 5w Combine like terms: -7w + 5w = -2w 40 + -2w = 20 + -5w + 5w Combine like terms: -5w + 5w = 0 40 + -2w = 20 + 0 40 + -2w = 20 Add '-40' to each side of the equation. 40 + -40 + -2w = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -2w = 20 + -40 -2w = 20 + -40 Combine like terms: 20 + -40 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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