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Simplifying -28 = 5(w + -8) + -7w Reorder the terms: -28 = 5(-8 + w) + -7w -28 = (-8 * 5 + w * 5) + -7w -28 = (-40 + 5w) + -7w Combine like terms: 5w + -7w = -2w -28 = -40 + -2w Solving -28 = -40 + -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. -28 + 2w = -40 + -2w + 2w Combine like terms: -2w + 2w = 0 -28 + 2w = -40 + 0 -28 + 2w = -40 Add '28' to each side of the equation. -28 + 28 + 2w = -40 + 28 Combine like terms: -28 + 28 = 0 0 + 2w = -40 + 28 2w = -40 + 28 Combine like terms: -40 + 28 = -12 2w = -12 Divide each side by '2'. w = -6 Simplifying w = -6
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