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Simplifying 8(w + -7) + 5w = 22 Reorder the terms: 8(-7 + w) + 5w = 22 (-7 * 8 + w * 8) + 5w = 22 (-56 + 8w) + 5w = 22 Combine like terms: 8w + 5w = 13w -56 + 13w = 22 Solving -56 + 13w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 13w = 22 + 56 Combine like terms: -56 + 56 = 0 0 + 13w = 22 + 56 13w = 22 + 56 Combine like terms: 22 + 56 = 78 13w = 78 Divide each side by '13'. w = 6 Simplifying w = 6
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