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Simplifying 9(w + -7) = 4w + -43 Reorder the terms: 9(-7 + w) = 4w + -43 (-7 * 9 + w * 9) = 4w + -43 (-63 + 9w) = 4w + -43 Reorder the terms: -63 + 9w = -43 + 4w Solving -63 + 9w = -43 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -63 + 9w + -4w = -43 + 4w + -4w Combine like terms: 9w + -4w = 5w -63 + 5w = -43 + 4w + -4w Combine like terms: 4w + -4w = 0 -63 + 5w = -43 + 0 -63 + 5w = -43 Add '63' to each side of the equation. -63 + 63 + 5w = -43 + 63 Combine like terms: -63 + 63 = 0 0 + 5w = -43 + 63 5w = -43 + 63 Combine like terms: -43 + 63 = 20 5w = 20 Divide each side by '5'. w = 4 Simplifying w = 4
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