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Simplifying 4(w + -9) + 7w = 52 Reorder the terms: 4(-9 + w) + 7w = 52 (-9 * 4 + w * 4) + 7w = 52 (-36 + 4w) + 7w = 52 Combine like terms: 4w + 7w = 11w -36 + 11w = 52 Solving -36 + 11w = 52 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 11w = 52 + 36 Combine like terms: -36 + 36 = 0 0 + 11w = 52 + 36 11w = 52 + 36 Combine like terms: 52 + 36 = 88 11w = 88 Divide each side by '11'. w = 8 Simplifying w = 8
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