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Simplifying -3w + 36 = -5(w + -8) Reorder the terms: 36 + -3w = -5(w + -8) Reorder the terms: 36 + -3w = -5(-8 + w) 36 + -3w = (-8 * -5 + w * -5) 36 + -3w = (40 + -5w) Solving 36 + -3w = 40 + -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. 36 + -3w + 5w = 40 + -5w + 5w Combine like terms: -3w + 5w = 2w 36 + 2w = 40 + -5w + 5w Combine like terms: -5w + 5w = 0 36 + 2w = 40 + 0 36 + 2w = 40 Add '-36' to each side of the equation. 36 + -36 + 2w = 40 + -36 Combine like terms: 36 + -36 = 0 0 + 2w = 40 + -36 2w = 40 + -36 Combine like terms: 40 + -36 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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