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Simplifying 7(w + -7) + 6w = -23 Reorder the terms: 7(-7 + w) + 6w = -23 (-7 * 7 + w * 7) + 6w = -23 (-49 + 7w) + 6w = -23 Combine like terms: 7w + 6w = 13w -49 + 13w = -23 Solving -49 + 13w = -23 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 13w = -23 + 49 Combine like terms: -49 + 49 = 0 0 + 13w = -23 + 49 13w = -23 + 49 Combine like terms: -23 + 49 = 26 13w = 26 Divide each side by '13'. w = 2 Simplifying w = 2
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