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Simplifying 9w + -7 = -4(w + 5) Reorder the terms: -7 + 9w = -4(w + 5) Reorder the terms: -7 + 9w = -4(5 + w) -7 + 9w = (5 * -4 + w * -4) -7 + 9w = (-20 + -4w) Solving -7 + 9w = -20 + -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. -7 + 9w + 4w = -20 + -4w + 4w Combine like terms: 9w + 4w = 13w -7 + 13w = -20 + -4w + 4w Combine like terms: -4w + 4w = 0 -7 + 13w = -20 + 0 -7 + 13w = -20 Add '7' to each side of the equation. -7 + 7 + 13w = -20 + 7 Combine like terms: -7 + 7 = 0 0 + 13w = -20 + 7 13w = -20 + 7 Combine like terms: -20 + 7 = -13 13w = -13 Divide each side by '13'. w = -1 Simplifying w = -1
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