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Simplifying 56 = -5w + 15 + 3w + -7 Reorder the terms: 56 = 15 + -7 + -5w + 3w Combine like terms: 15 + -7 = 8 56 = 8 + -5w + 3w Combine like terms: -5w + 3w = -2w 56 = 8 + -2w Solving 56 = 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. 56 + 2w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 56 + 2w = 8 + 0 56 + 2w = 8 Add '-56' to each side of the equation. 56 + -56 + 2w = 8 + -56 Combine like terms: 56 + -56 = 0 0 + 2w = 8 + -56 2w = 8 + -56 Combine like terms: 8 + -56 = -48 2w = -48 Divide each side by '2'. w = -24 Simplifying w = -24
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