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Simplifying 4w + -22 = -9(w + 1) Reorder the terms: -22 + 4w = -9(w + 1) Reorder the terms: -22 + 4w = -9(1 + w) -22 + 4w = (1 * -9 + w * -9) -22 + 4w = (-9 + -9w) Solving -22 + 4w = -9 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. -22 + 4w + 9w = -9 + -9w + 9w Combine like terms: 4w + 9w = 13w -22 + 13w = -9 + -9w + 9w Combine like terms: -9w + 9w = 0 -22 + 13w = -9 + 0 -22 + 13w = -9 Add '22' to each side of the equation. -22 + 22 + 13w = -9 + 22 Combine like terms: -22 + 22 = 0 0 + 13w = -9 + 22 13w = -9 + 22 Combine like terms: -9 + 22 = 13 13w = 13 Divide each side by '13'. w = 1 Simplifying w = 1
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