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Simplifying 7w + -25 = -4(w + -9) Reorder the terms: -25 + 7w = -4(w + -9) Reorder the terms: -25 + 7w = -4(-9 + w) -25 + 7w = (-9 * -4 + w * -4) -25 + 7w = (36 + -4w) Solving -25 + 7w = 36 + -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. -25 + 7w + 4w = 36 + -4w + 4w Combine like terms: 7w + 4w = 11w -25 + 11w = 36 + -4w + 4w Combine like terms: -4w + 4w = 0 -25 + 11w = 36 + 0 -25 + 11w = 36 Add '25' to each side of the equation. -25 + 25 + 11w = 36 + 25 Combine like terms: -25 + 25 = 0 0 + 11w = 36 + 25 11w = 36 + 25 Combine like terms: 36 + 25 = 61 11w = 61 Divide each side by '11'. w = 5.545454545 Simplifying w = 5.545454545
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